Embedded Files
Definition of Trig Functions using Triangles
Soh Cah Toa
Solve right triangle using Soh Cah Toa | 2'04''
What is Soh Cah Toa
Solve a right triangle using Soh Cah Toa
The formula for sine, cosine, and tangent | 6'13''
Finding sides with the trig ratio of the right triangle
Example of using Soh Cah Toa to find trig ratios | 4'04''
🖊️ Practice Problems
Special Triangles
45-45-90
Trig ratios of a 45-45-90 triangle | 2'42''
Given one of the sides, find the hypotenuse | 1'19''
Given the hypotenuse, find the other two sides of a 45-45-90 triangle | 1'28''
30-60-90
Trig ratios of a 30-60-90 triangle | 3'18''
Examples of using the ratio to find the sides of the triangle | 3'18''
Given the short side, find the hypotenuse and the other side | 1'32''
🖊️ Practice Problems
Radians vs Degrees
What is a radian? | 1'28''
Why radians? | 2'01''
Converting degrees to radians | 3'04''
Converting radians to degrees | 2'54''
🖊️ Practice Problems
Trig Functions
Graphs of Trig Functions
Sine & Cosine
Graph sine (w/ unit circle) | 9'21''
Domain and range or sine function
Graph sine and cosine (w/ unit circle) | 8'00''
Tangent
Graph tangent (w/ unit circle) 1 | 8'20''
Graph tangent (w/ unit circle) 2 | 10'11''
Secant
Graph secant (from cosx) 1 | 4'49''
Graph secant (from cosx) 2 | 4'49''
Cosecant
Graph cosecant (from sinx) 1 7'01''
Graph cosecant (from sinx) 2 | 9'26''
Cotangent
Graph cotangent (from cosx/sinx) | 5'04''
Graph of sinx, cosx, tanx, cscx, secx, cotx [Webpage]
Graph of trig functions w/ solutions [Webpage]
Trig cheatsheet [Webpage]
🖊️ Practice Problems
[May need knowledge below]
Find the amplitude and period and graph each function [degree & radian]
Find the amplitude and period and graph each function [radian]
Amplitude, period, frequency, shift of cos and sin functions
Finding Midline, Amplitude, and Period of Trig Functions | 4'46''
Midline, amplitude and period of a function | 4'57''
How to Determine the Period and Amplitude of a Trigonometric Graph with an Example 2cos(3x) | 2'09''
How to Find the Amplitude Period and Frequency of Sine example:3sin(x/2) | 2'05''
Horizontal shift: How to find Phase Shift in Sin and Cos Graphs | 7'39''
Vertical shift of sine graph | 4'24''
Amplitude, Period, Phase Shift and Frequency of periodic functions like sine and cosine [Webpage]
Try it out yourself!
https://www.desmos.com/calculator
🖊️ Practice Problems
Amplitude, Period, Phase Shift and Frequency of sine and cosine (interactive)
Graphs of sine and cosine functions
Period, Amplitude, And Shift Of Sine And Cosine Functions (interactive)
Trig angle identities
Double angle formulas for sin/cos/tan
Formulas for Trigonometric Functions: Sum/Difference, Double/Half-Angle, Prod-to-Sum/Sum-to-Prod | 9'28''
Derive the double angle formula for sin(2x) from the sum formula for the sine | 2'05''
Derive the double angle formula for cos(2x) from the sum formula for the cosine | 1'14''
Derive the double angle formula for tan(2x) from the sum formula for the tangent | 1'49''
How to use double angle formula | 8'02''
Two special cases of the sum of angles identities - double angel identities [Webpage]
Triple angle formulas for sin/cos/tan
Triple angle formula for sin(3x), cos(3x) and tan(3x) | 1'24''
Derivation of triple angle formula for sin(3x) | 5'13''
Derivation of triple angle formula for sin(3x) and cos(3x) | 8'00''
Derivation of triple angle formula for tan(3x) | 4'21''
Sum and difference formula for sine/cosine/tangent [Webpage]
derivation
🖊️ Practice Problems
Half-angle formulas for sin/cos/tan
Derivation of the half-angle identities | 6'25''
How to use the half-angle formula | 7'06''
Double-angle, half-angle, and reduction formulas [Webpage]
🖊️ Practice Problems
Angle Sum/difference identities
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