No Calculator Trig Functions & SOH CAH TOA By: Brandon Steinhilber Madalynn Krutzik Megan Allar

When is it used? Used with Right Triangles ONLY Used to find missing angles and/or missing sides Doesn’t always require a calculator

SOH CAH TOA Sine Opposite Hypotenuse Cosine Adjacent Hypotenuse Tangent Opposite Adjacent

Special Triangles No calculator needed to find side lengths/angles with special triangles. Special triangles are: 45°, 45°, 90° and 30°, 60°, 90°.

Special Triangles Are Used When the denominator is 6, then the angle is 30°. the denominator is 3, then the angle is 60°. the denominator is 4, then the angle is 45°.

(0,1) (1,0) (0,-1) (-1,0) Cos=x Sin=y Tan=y/x 2π2π π /2 π 3 π /2 If the denominator is 1 or 2, then use the corresponding points to find the answer

45° (π/4) Trig Functions Sin = 1/√2Csc =√2/1 Cos = 1/√2Sec = √2/1 Tan = 1/1Cot = 1/ Triangle Trig Functions π/4

Triangle Trig Functions 30 ° (π/6) Trig Functions Sin=1/2Csc=2/1 Cos=√3/2Sec=2/√3 Tan=1/√3Cot=√3/1 60° (π/3) Trig Functions Sin= √3/2Csc= 2/√3 Cos=1/2Sec=2/1 Tan=√3/1Cot=1/√3 π/6 π/3

This is used to find out whether the answer is positive or negative by dividing the numerator by the denominator and excluding pi, and finding the quadrant it’s in.