Precalculus Video Playlist
Lesson 77 of 186 · Trigonometric Functions of Any Angle – Unit Circle, Radians, Degrees, Coterminal & Reference Angles · Basic studies
Trigonometric Functions of Any Angle – Unit Circle, Radians, Degrees, Coterminal & Reference Angles
This trigonometry video tutorial explains how to evaluate trigonometric functions of any angle such as acute angles or special angles. It shows you how to find and use reference angles and coterminal angles to accomplish such a task as well as converting between radians and degrees as needed. This video contains plenty of examples and practice problems.
Here is a list of topics:
1. SOHCAHTOA – Opposite, Adjacent, and Hypotenuse of a Right Triangle
2. Right Triangle Trigonometry Basics
3. Sine, Cosine and Tangent Ratio
4. Secant, Cosecant and Cotangent Trigonometric Functions
5. Exact Value of Six Trigonometric Functions
6. Quadrants 1 to 4 – Sign of Sin, Cos and Tan Trigonometric Functions
7. Special Right Triangles – 3-4-5 Triangle, 5-12-13 right triangle, 7-24-25 triangle, 8-15-17 triangle
8. Pythagorean Theorem – Finding the Missing Side of a Right Triangle
9. Angle of Elevation and Depression Word Problems
10. Solving Right Triangles – Missing Sides and Angles
11. Evaluating Trigonometric Functions Given Terminal Point
12. Converting Radians to Degrees
13. Converting Degrees to Radians
14. Coterminal Angles – Positive and Negative – Degrees and Radians
15. Reference Angles in Radians – Trigonometry
16. Evaluating Trignometric Functions of Any Angle Using Reference Angles
17. Radicals & Square Roots – Rationalizing The Denominator
18. Special Right Triangles – 30-60-90 Triangle and 45-45-90 Triangle
19. Reciprocal Identities – Sec, Csc, and Cot Trig Functions
20. Unit Circle Approach – Trigonometry
- (1-sinx)/cosx+cosx/(1-sinx)=2secx
- (1-sinx)/cosx=secx-tanx
- (f o g)(x)
- (fog)(x)
- 2 variables
- 2x2
- 2x2 matrices
- 3 step continuity test
- 3 variables
- 30-60-90
- 3x3
- 3x3 matrices
- 45-45-90
- a+bi
- Absolute Value
- absolute value functions
- act
- act math
- act math concepts
- act math examples
- act math formulas
- act math help
- act math lessons
- act math overview
- act math practice
- act math practice problems
- act math prep
- act math questions
- act math review
- act math strategies
- act math study guide
- act math tips and strategies
- act math word problems
- act prep
- act review
- Adding
- adding and subtracting
- adding and subtracting vectors
- addition
- algebra
- algebra 1
- algebra 2
- algebraic expressions
- angle
- angle between two vectors
- angle of elevation and depression word problems
- annually
- appreciation
- arithmetic mean
- arithmetic sequence
- arithmetic sequence and series
- arithmetic sequence formula
- arithmetic series
- ASA
- asymptote
- Asymptotes
- axis of symmetry
- bacteria
- Basic
- basics
- binomial coefficients
- binomial expansion
- binomial expansion theorem
- binomial theorem
- binomial theorem expansion
- binomial theorem finding coefficients
- binomial theorem pascal's triangle
- box and whisker plots
- brackets
- Calculus
- calculus 2
- car value
- cardiods
- cartesian equation
- cartesian equations
- cartesian vector notation
- center
- change of base
- change of base formula
- Channel
- circle
- circle standard form
- circles
- closed circle
- coefficients
- College Algebra
- combinations
- combinations formula
- common difference
- common ratio
- Completing the Square
- complex imaginary numbers
- Complex Numbers
- complex numbers algebra 2
- complex numbers in polar form
- complex numbers radicals
- complex numbers standard form
- component form
- Composite
- composite functions
- composite functions domain
- composite functions inverse
- composite functions with fractions
- composite functions with square roots
- Composition of Functions
- composition of functions algebra 2
- composition of functions precalculus
- compound interest
- compound interest and e
- compound interest continuously
- compound interest explained
- compound interest formula
- compound interest investment
- compound interest problems
- compounded continuously formula
- compounded monthly
- condense
- condense logarithmic expressions
- condensing
- conic sections
- conic sections circle
- conic sections ellipse
- conic sections hyperbola
- conic sections parabola
- conic sections review
- conjugates
- continuity
- continuity of limits
- converting degrees to radians
- converting radians to degrees
- cos
- Cosine
- coterminal angles
- coterminal angles in radians
- coterminal angles positive and negative
- counting principle
- cramer's rule
- cramer's rule 2 linear equations
- cramer's rule 2x2
- cramer's rule 3 variables
- cramer's rule 3x3
- cramer's rule 3x3 matrices
- Cross Product
- cross product and dot product
- cross product determinant
- cross product example
- cross product explained
- cross product formula
- cross product matrices
- cross product of two vectors
- cross product physics
- cube root
- cubic
- cumulative relative frequency
- daily
- data table
- de moivre's theorem
- de moivre's theorem and nth roots
- de moivre's theorem roots of complex numbers
- decimals
- definite integral
- degree
- Depreciation
- desmos
- determinant
- determinant of 2x2 matrices
- determinant of 3x3 matrices
- Determinants
- determine if function is even odd or neither
- determine whether f is even odd or neither
- difference
- different bases
- directrix
- discontinuity
- dividing
- division
- domain
- domain and range
- domain and range of a function
- domain and range of a graph
- domain and range of a quadratic function
- domain and range of exponential functions
- domain and range of logarithmic functions
- domain and range of rational functions
- domain and range of trigonometric functions
- domain of a square root function
- dot plots
- dot product
- dot product between two vectors
- dot product explained
- dot product geometric interpretation
- dot product graphical representation
- dot product of two vectors
- dot product physics
- eliminating parameter
- eliminating the parameter
- elimination
- Elimination Method
- Ellipse
- ellipse standard form
- ellipses
- end behavior
- equation
- equations
- evaluate logarithms
- Even
- even functions
- even odd functions
- even odd or neither functions
- even odd or neither functions algebraically
- even odd or neither functions graphs
- even odd properties
- even or odd functions
- example
- examples
- exampples
- expand logarithmic expressions
- expanding
- explained
- exponential
- Exponential Decay
- exponential equations
- exponential form
- Exponential Function
- exponential functions
- exponential growth
- exponential growth and decay
- exponential growth and decay functions
- exponential growth and decay precalculus
- exponential growth and decay word problems
- f(g(x))
- factor
- factored form
- factoring
- factoring binomials
- factoring by grouping
- factoring cubic polynomials
- factoring polynomials
- factoring quadratic equations
- factoring trinomials
- factoring trinomials ax2+bx+c
- factoring trinomials with leading coefficient 1
- factoring trinomials with leading coefficient not 1
- finding coefficients
- finding terms
- finding the domain of a square root function
- finding the nth term
- finding zeros
- finite sum
- foci
- force
- force vector
- formula
- fractions
- frequency distribution table
- frequency tables
- function
- functions
- fundamental counting principle
- future value
- geometric mean
- geometric sequences
- geometric sequences and series
- Geometric Series
- GFX
- graph
- graphical method
- graphing
- graphing cardiods
- graphing circles
- graphing circles in standard form
- graphing ellipses in standard form
- graphing equations
- graphing exponential functions
- graphing exponential functions domain
- graphing exponential functions precalculus
- graphing exponential functions transformations
- graphing exponential functions with e
- graphing functions
- graphing hyperbolas in standard form
- graphing inequalities
- graphing lemniscates
- graphing limacons
- Graphing Linear Equations
- graphing logarithmic functions
- graphing logarithmic functions asymptotes
- graphing logarithmic functions with transformations
- graphing logs
- graphing parabolas
- graphing parametric equations
- graphing plane curves
- graphing polar curves
- graphing polar equations
- graphing polar functions
- graphing polynomial functions
- graphing quadratic functions
- graphing quadratic functions in standard form
- graphing quadratic functions in vertex form
- graphing radical equations
- graphing radical functions
- graphing radicals
- graphing rational functions
- graphing rational functions with asymptotes
- graphing rational functions with asymptotes and holes
- graphing rose curves
- graphing sine and cosine functions
- graphing transformations
- graphing trignometric functions
- graphs
- greatest integer function
- Ground
- head to tail
- head to tail method
- higher degree
- Histograms
- holes
- home value
- Horizontal
- horizontal and vertical asymptotes
- horizontal and vertical component
- horizontal asymptotes
- horizontal asymptotes of rational functions
- Horizontal Shift
- how to add or subtract two vectors
- how to add two vectors graphically
- how to add vectors algebraically
- how to do it the easy way
- how to find all real and imaginary solutions
- how to find angle
- how to find the angle between two vectors
- how to graph circles
- how to graph parabolas
- how to plot
- how to solve systems of equations
- how to solve systems of equations by substitution
- how to solve systems of nonlinear equations
- Hyperbola
- hyperbola standard form
- hyperbolas
- i j k
- imaginary numbers
- imaginary solutions
- imaginary zeros
- Inequalities
- Infinite sum
- infinity
- intercepts
- interquartile range
- Interval Notation
- Introduction
- inverse
- Inverse Function
- inverse functions
- inverse functions algebra 2
- inverse functions calculus
- inverse functions domain and range
- inverse functions logarithms
- inverse functions precalculus
- inverse functions with fractions
- law of cosines
- law of cosines examples
- law of cosines sas
- law of cosines sss
- law of sines
- law of sines aas
- law of sines and cosines
- law of sines asa
- law of sines examples
- law of sines no solution
- law of sines ssa
- law of sines tutorial
- law of sines two solutions
- leading coefficient
- leading term
- lemniscates
- Lesson
- limacon curves
- limacon graph
- limacons
- limits
- Limits and Continuity
- limits at infinity
- limits at infinity with radicals
- limits calculus
- linear
- linear equations
- linear functions
- ln
- logarithmic
- logarithmic equations
- logarithmic expressions
- logarithmic functions
- logarithms
- logarithms explained
- logarithms review
- logarithms rules
- logs
- long division
- Long Division of Polynomials
- long division of polynomials made easy
- long division of polynomials with missing terms
- long division of polynomials with remainder
- made easy
- magnitude and angle
- magnitude and direction
- major axis
- marbles
- Math
- math problems
- Maths
- Matrices
- matrices and determinants
- matrices cramer's rule
- Matrix
- maxima
- maximum
- maximum height
- Mean
- median
- minima
- minimum
- minor axis
- missing terms
- MODE
- monthly
- multiple representation
- multiplicity
- multiplying and dividing
- mutiplying
- mutual funds
- natural logs
- negative angles
- negative r
- negative r values
- nonlinear equations
- nth roots
- nth term
- number line
- oblique asymptote
- oblique asymptotes
- oblique asymptotes of rational functions
- odd
- odd functions
- one sided limits
- one sided limits absolute value
- one sided limits calculus
- one to one
- online graphing calculator
- open circle
- Operations
- organic chemistry tutor
- orthogonal
- outliers
- Overview
- parabola
- parabola standard form
- parabolas
- parallel vectors
- parameter t
- Parametric Equations
- parametric equations calculus
- parametric equations eliminating parameter t
- parametric equations ellipse
- parametric equations introduction
- parametric equations precalculus
- parent functions
- parent functions algebra 2
- parent functions and their graphs
- parent functions and transformations
- parent functions domain and range
- parent functions precalculus
- parentheses
- partial sum
- pascal's triangle
- pascal's triangle binomial expansion
- pascal's triangle combinations
- pascal's triangle explained
- Patreon
- patreon channel
- patreon review
- patreon rewards
- patreon rewards tutorial
- patreon tutorial
- patreon tutorial video
- patreon video
- percentile
- permutations
- permutations and combinations
- permutations and combinations basics
- permutations and combinations tutorial
- permutations and combinations word problems
- perpendicular vectors
- physics
- Piecewise Functions
- plane curves
- Plotting Points
- polar coordinates
- polar coordinates introduction
- polar coordinates to rectangular coordinates
- polar curves
- Polar Equation
- polar equations
- polar form
- polar functions
- polar graphs
- polynomial equations
- polynomial function
- polynomial functions
- polynomial functions end behavior
- polynomial functions finding zeros
- polynomial functions multiplicity
- polynomials
- population growth
- powers
- powers of complex numbers
- practice
- practice problems
- Precalculus
- present value
- probability
- probability basics
- probability compound events
- probability examples
- probability explained
- probability independent events
- probability problems
- probability review
- probability rules
- probability using marbles
- probability with marbles
- probability with replacement
- probability without replacement
- probability word problems
- problems
- products
- products of complex numbers in polar form
- properties
- properties of exponents
- properties of logarithms
- prove the identity
- quadratic
- Quadratic equation
- quadratic equations
- quadratic expressions
- quadratic form
- Quadratic Formula
- Quadratic Functions
- quarterly
- quartiles
- Quotients
- quotients of complex numbers in polar form
- radians
- radical
- radical equations
- radical function
- radical functions
- radicals
- radius
- range
- rational
- rational functions
- rational zeros
- Ratios
- real and imaginary solutions
- real and imaginary zeros
- real solutions
- real zeros
- rectangular coordinates
- rectangular coordinates to polar coordinates
- Rectangular Equation
- rectangular equation to polar equation
- rectangular equations
- rectangular equations to polar equations
- rectangular form
- recursive
- recursive formula
- reference angles
- reference angles in radians
- Reflection
- reflection origin
- reflection x-axis
- reflection y-axis
- relative frequency
- remainder
- remainder theorem
- resultant
- resultant force
- review
- rewards
- right triangle trigonometry
- roots
- roots of complex numbers
- rose curves
- rose petals
- SAA
- sat
- sat algebra
- sat algebra and functions
- sat functions
- sat geometry
- sat geometry review
- sat hard math questions
- sat help
- SAT math
- sat math crash course
- sat math help
- sat math online course
- sat math overview
- sat math practice
- sat math prep
- sat math ratios
- sat math review
- sat math study guide
- sat math test
- sat math test problems
- sat math tips
- sat practice
- sat prep
- sat questions and answers
- sat test
- sat test prep
- scalar multiplication
- Scalars
- sec^2x/tanx=secxcscx
- sec^2xtan^2x+sec^2x=sec^4x
- secx-cosx=tanxsinx
- semi annually
- shift
- sigma notation
- simplify
- simplifying logarithmic expressions
- simplifying logs
- simultaneous equations
- simultaneous equations elimination method
- simultaneous equations graphical method
- simultaneous equations substitution method
- simultaneous equations with 3 variables
- simultaneous equations with fractions
- sin
- sin^4x-cos^4x=sin^2x-cos^2x
- sine
- sine and cosine
- sinx/(1+cosx)=(1-cosx)/sinx
- sinxsecx=tanx
- sinxtanx+cosx=secx
- skewed left
- skewed right
- skewness
- slant asymptote
- slant asymptotes
- sohcahtoa
- solve by graphing
- solve for angle
- solve for r
- solve for t
- solving by elimination
- solving by substitution
- Solving Equations
- solving exponential equations
- solving exponential equations in quadratic form
- solving exponential equations using logarithms
- solving exponential equations with e
- solving logarithmic equations
- solving logarithmic equations with different bases
- solving polynomial equations
- solving polynomial equations by factoring
- solving polynomial equations using synthetic division
- solving simultaneous equations
- solving systems of equations
- solving systems of equations by elimination
- solving systems of equations with 3 variables
- solving systems of nonlinear equations
- solving systems of nonlinear equations in two variables
- special right triangles
- Square Root
- square root functions
- square roots
- Squeeze Theorem
- standard form
- statistics
- stem and leaf plots
- substitution
- Substitution Method
- subtraction
- sum
- sum and product
- summation notation
- symmetry
- synthetic division
- synthetic division and remainder theorem
- synthetic division factoring polynomials
- synthetic division to find zeros
- synthetic division with fractions
- synthetic division with polynomials
- System of Linear Equations
- Systems of Equations
- systems of equations by graphing
- systems of equations inequalities
- systems of equations word problems
- systems of nonlinear equations
- systems of nonlinear equations in two variables
- table of values
- tan
- tan^2x/secx=secx-cotx
- tan^2xcot^2x=1
- Tangent
- terminal point
- terms
- three vectors
- time
- to find quotient and remainder
- to find roots
- to find zeros
- transformations
- trig functions
- trig identities
- trigonometric
- Trigonometric Functions
- trigonometric functions of any angle
- Trigonometry
- turning points
- tutorial
- tutorial video
- two vectors
- Union
- unit circle
- using logarithms
- using transformations
- vector addition
- vector addition and subtraction
- vector notation
- vector subtraction
- Vectors
- vectors basics
- vectors calculus
- vectors explained
- vectors maths
- vectors physics
- vectors precalculus
- vectors review
- vectors trigonometry
- verify the identity
- verifying trigonometric identities
- vertex
- vertex form
- vertical
- vertical asymptotes
- vertical asymptotes and holes
- vertical asymptotes and horizontal asymptotes
- vertical asymptotes of rational functions
- Vertical Shift
- vertical stretch
- verticies
- video
- weekly
- with 3 components
- with asymptotes
- with e
- with i
- with i and j
- without a calculator
- Word Problems
- work
- x and y intercepts
- x and y intercepts of a rational function
- x axis
- x intercepts
- x=-b/2a
- y axis
- y=a(x-h)^2+k
- y=ax^2+bx+c
- YouTube
- zero of polynomial function
- Zeros