New Trigonometry Playlist
Lesson 70 of 165 · Radians and Degrees · Basic studies
Radians and Degrees
This trigonometry video tutorial provides a basic introduction into radians and degrees. It explains the definition of the radian and how to calculate the angle measure in radians given the arc length of a circle and the length of the radius. This video also explains the process of converting degrees to radians and converting radians to degrees. To convert from degrees to radians, multiply the angle measure in degrees by pi divided by 180. To convert from radians to degrees, multiply the radian measure by 180 over pi. To calculate the angle measure in radians – divide the arc length by the length of the radius of the circle.
This video also explains how to draw angles in standard position using radians instead of degrees. It explains the location of common angles such as pi/4, 3pi/4, 5pi/4, and 7pi/4 and more. This video contains a lot of examples and practice problems.
- 30-60-90
- 30-60-90 special right triangles
- 30-60-90 triangles
- 45-45-90
- 45-45-90 triangles
- AAS
- absolute value functions
- act
- act math
- acute angles
- acute angles and obtuse angles
- Adding
- adding and subtracting vectors
- algebra
- algebra 2
- all solutions
- alpha
- amplitude
- amplitude and period
- angle
- angle basics
- angle between hands of a clock
- angle between two vectors
- angle measure
- angle measure trigonometry
- angle measurement
- angle of depression
- angle of elevation
- angle of elevation and depression
- angle of elevation and depression word problems
- angle of elevation trigonometry
- angles
- angles and degrees
- angles and radian measure
- angular speed
- angular velocity
- Applications
- aptitude
- Arc Length
- arc length and sector area
- arc length formula
- arc length of a circle
- arc length of a circle formula
- arc length of a sector
- arccos
- arcsin
- arcsin arccos arctan
- arctan
- area
- area of a sector
- area of a sector formula
- area of a sector radians
- area of a triangle
- area of an oblique triangle
- area of sectors
- basic introduction
- basic trigonometry
- basic trigonometry for beginners
- basic trigonometry lessons
- basic trigonometry problems.
- basic trigonometry sin cos tan
- basics
- bearing problems
- bearing problems trigonometry
- bearings
- beta
- box and whisker plots
- Calculus
- cardiods
- cartesian equation
- cartesian equations
- chemistry
- circles
- clock
- clock angle between hands
- clock angle problem
- clock angle tricks
- clock aptitude
- clock aptitude problems
- clock aptitude shortcuts
- clock aptitude tricks
- clock problems
- clock tricks
- cofunction
- cofunction identities
- College
- Complex Numbers
- complex numbers in polar form
- component form
- Composite
- composite inverse trig functions
- composition
- composition of inverse trig functions
- composition of inverse trigonometric functions
- converting degrees minutes and seconds to decimal
- converting degrees to dms
- converting degrees to radians
- converting dms to degrees
- converting polar equations to rectangular
- converting polar equations to rectangular form
- converting radians to degrees
- coordinates
- cos
- cosecant
- cosecant functions
- Cosine
- cosine function
- cosine functions
- cotangent
- coterminal angles
- coterminal angles in degrees
- coterminal angles in radians
- coterminal angles trigonometry
- cumulative relative frequency
- de moivre's theorem
- de moivre's theorem and nth roots
- de moivre's theorem roots of complex numbers
- decimal
- decimal degrees
- decimal degrees to degrees minutes seconds
- decimal degrees to dms
- definite integral
- definition
- degrees
- degrees and radians
- degrees minutes seconds
- degrees to dms
- degrees to radians
- desmos
- difference of perfect squares
- difference of squares method
- direction
- dividing
- dms
- dms to decimal
- dms to decimal degrees
- dms to decimal formula
- dms to degrees
- dms to degrees formula
- domain and range
- domain and range of trigonometric functions
- 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
- double angle
- double angle and half angle formulas
- double angle formulas
- double angle identities
- drawing angles
- drawing angles in standard position
- equation
- equations
- evaluating
- evaluating composite inverse trig functions
- evaluating composite inverse trigonometric functions
- evaluating cotangent
- evaluating cotangent functions
- evaluating inverse trig functions
- evaluating inverse trigonometric functions
- evaluating sine and cosine
- evaluating sine cosine and tangent
- evaluating tangent functions
- evaluating trigonometric functions
- evaluating trigonometric functions given a point on the terminal side
- even and odd
- even and odd trig functions
- even and odd trig functions examples
- even and odd trig identities
- even and odd trig identities examples
- even and odd trigonometric functions
- even and odd trigonometric functions examples
- exact value
- exact value of trigonometric functions
- example
- Example problems
- examples
- exampples
- explained
- factoring
- factoring trinomials
- feet per second
- finding angles
- finding sides
- finding sides and angles
- five remaining
- five remaining trigonometric functions
- for beginners
- for sine and cosine
- formula
- formulas
- frequency distribution table
- frequency tables
- ft/s
- function
- functions
- general equation
- geometry
- graph
- graphical method
- graphing
- graphing cardiods
- graphing circles
- graphing cotangent functions
- graphing exponential functions
- graphing inequalities
- graphing inverse trig functions
- graphing inverse trigonometric functions
- graphing lemniscates
- graphing limacons
- Graphing Linear Equations
- graphing logarithmic functions
- graphing parabolas
- graphing polar curves
- graphing polar equations
- graphing polar functions
- graphing quadratic functions
- graphing rational functions
- graphing rose curves
- graphing secant and cosecant functions
- graphing secant and cosecant functions with transformations
- graphing sine and cosine functions
- graphing sine and cosine functions with transformations
- graphing sine functions
- graphing tangent and cotangent functions
- graphing tangent functions
- graphing tangent functions with phase shift
- graphing trignometric functions
- graphing trigonometric functions
- graphs of sine and cosine functions
- greek alphabet
- half angle
- half angle formulas
- half angle formulas trigonometry
- half angle identities
- hands of a clock
- head to tail
- head to tail method
- heron's formula
- Histograms
- horizontal and vertical component
- hour hand
- how to evaluate trigonometric functions
- how to evaluate trigonometric functions using periodic properties
- how to find angle
- how to find the exact value of trigonometric functions
- how to graph inverse trig functions
- how to graph secant and cosecant functions
- how to graph sine and cosine functions
- how to graph sine and cosine functions with phase shifts
- how to graph tangent and cotangent functions
- how to graph tangent and cotangent functions with transformations
- how to graph tangent functions
- how to graph tangent functions with transformations
- how to plot
- how to solve trigonometric equations
- how to solve trigonometric equations with multiple angles
- how to solve two triangle trigonometry problems
- how to use reference angles to evaluate trigonometric functions
- Identities
- in terms of pi
- initial side
- initial side and terminal side
- initial side of an angle
- interquartile range
- Introduction
- introduction to angles
- inverse
- inverse cosine
- inverse cosine function
- inverse sine
- inverse sine cosine and tangent functions
- inverse sine function
- inverse tangent
- inverse tangent function
- inverse trig functions
- Inverse Trigonometric Functions
- km/hr
- law of cosine formula
- law of cosines
- law of cosines and sines
- law of cosines finding angles
- law of cosines finding sides
- law of cosines sas
- law of cosines sss
- law of sines
- law of sines finding angles
- law of sines finding sides
- law of sines formula
- lemniscates
- lessons
- limacon curves
- limacon graph
- limacons
- linear speed
- linear speed and angular speed
- linear velocity
- m/s
- magnitude and angle
- magnitude and direction
- Math
- Maths
- Mean
- median
- miles per hour
- minute hand
- missing sides
- MODE
- mph
- multiple angles
- multiple representation
- mutiplying
- navigation
- navigation problems
- navigation problems trigonometry
- negative angles
- negative r
- negative r values
- No Solution
- nth roots
- oblique triangles
- obtuse angles
- of a circle
- one solution
- online graphing calculator
- outliers
- parallel vectors
- percentile
- period
- periodic properties
- permutations
- perpendicular vectors
- phase shift
- physics
- Plotting Points
- point
- Polar
- polar coordinates
- polar coordinates introduction
- polar coordinates to rectangular coordinates
- polar curves
- Polar Equation
- polar equations
- polar equations to rectangular equations
- polar form
- polar functions
- polar graphs
- positive angles
- power reducing formulas
- power reducing identities
- powers
- powers of complex numbers
- practice
- practice problems
- Precalculus
- problems
- product
- product to sum formulas
- product to sum identities
- products
- products of complex numbers in polar form
- proving trigonometric identities
- pythagorean identities
- Quadrant
- quadrants
- quartiles
- quotient identities
- quotient identities examples
- quotient identities trig
- Quotients
- quotients of complex numbers in polar form
- rad/s
- radian measure
- radians
- radians and arc length
- radians and degrees
- radians definition
- radians explained
- radians per second
- radians to degrees
- radians unit circle
- radius
- range
- reciprocal identities
- reciprocal identities example problems
- reciprocal identities of trigonometry
- reciprocal identities trig
- rectangular
- rectangular coordinates
- rectangular coordinates to polar coordinates
- Rectangular Equation
- rectangular equation to polar equation
- rectangular equations
- rectangular equations to polar equations
- rectangular form
- reference angles
- reference angles in degrees
- reference angles in radians
- reference angles to evaluate trig functions
- reference angles trigonometry
- reference triangle
- reference triangles
- relative frequency
- restricted domain
- resultant
- rev/s
- revolution per minute
- right angles
- right triangle
- right triangle trigonometry
- right triangle trigonometry finding angles
- right triangle trigonometry finding sides
- right triangles
- roots
- roots of complex numbers
- rose curves
- rose petals
- rpm
- sas
- sas triangle
- sat
- SAT math
- scalar multiplication
- Scalars
- secant
- secant and cosecant functions
- secant functions
- sector area
- sector area and arc length
- sector area formula
- sector area of a circle
- sides
- sigma notation
- simplifying
- simplifying composite inverse trigonometric functions
- simplifying trigonometric expressions
- sin
- sin cos tan
- sine
- sine alpha
- sine beta
- sine function
- sine functions
- sine waves
- sines
- six trigonometric functions
- skewed left
- skewed right
- skewness
- sohcahtoa
- solve for angle
- solving trigonometric equations
- solving trigonometric equations by factoring
- solving trigonometric equations using double angle identities
- solving trigonometric equations with multiple angles
- special right triangles
- special triangles
- speed
- ssa
- SSS
- sss triangle
- standard position
- statistics
- stem and leaf plots
- straight angles
- study guide
- sum
- sum and difference
- sum and difference formulas
- sum and difference formulas for sine and cosine
- sum and difference formulas tangent
- sum and difference formulas trigonometry
- sum and difference identities
- sum and difference identities tangent
- sum and difference problems
- sum to product formulas
- sum to product identities
- tan
- Tangent
- terminal point
- terminal side
- the six trigonometric functions
- the unit circle trigonometry
- three vectors
- to find exact value
- transformations
- triangle
- triangles
- Tricks
- trig
- trig functions
- trig identities
- trig ratios
- trigonometric equations
- trigonometric expression
- trigonometric expressions
- Trigonometric Functions
- trigonometric identities
- trigonometric quotient identities
- Trigonometry
- trigonometry basic introduction
- trigonometry final exam review
- trigonometry introduction
- trigonometry problems
- trigonometry ratios
- trigonometry word problems
- tutorial
- two solutions
- two triangle trigonometry problems
- two triangles
- two vectors
- unit circle
- unit circle trigonometry
- vector notation
- Vectors
- vectors basics
- vectors calculus
- vectors explained
- vectors maths
- vectors physics
- vectors precalculus
- vectors review
- vectors trigonometry
- verifying trig identities
- verifying trig identities examples
- verifying trig identities practice problems
- verifying trigonometric equations
- verifying trigonometric identities
- verifying trigonometric identities fractions
- verifying trigonometric identities hard
- verifying trigonometric identities practice problems
- verifying trigonometric identities worksheet
- Vertical Shift
- video
- with 3 components
- with i and j
- Word Problems
- writing trig equations from graphs
- writing trigonometric equations