Trig Identities

Solving linear Trig Functions

100

How many solutions does a linear trig function have without restrictions?

An infinite amount of solutions. 

300

Solve for x on the interval 0<x<2π

1+tan²x=2tanx

 π/4 and 5π/4

500

2(sinx+1)=3

Solve for x if 0<x<2π

π/6, 5π/6

Compound Angle

100

What is a compound angle?

2 or more angles combined into a trigonometric function.

300

True or False: Is Sin(A+B)= CosACosB-SinASinB

False because Sin(A+B)=SinACosB+CosASinB

500

Determine exact values for: Sin(π+π/6)

-1/2 is the exact values for Sin(π+π/6) 

Double Angle

100

What is a double angle? 

When you have a angle that is double the amount of the original angle.

300

 True or False: Is Sin2A=2SinACosA

True 

500

Evaluate for: (2Sin45)(cos45)=?

Sin90-->1

Trig Identities I & II

100

When solving trig Identities what is the final goal?

To have the left side equal the right side.

300

True or False: Does Tan²x =sec²x+1

False  Tan²x =sec²x-1

500

Sin⁴θ-Cos⁴θ=2sin²θ-1

LS=RS

Solving using Identities

100

 Multiple choice, select the correct answer: 

solve for: cosx = sin2x

a) x= π/6, 5π/6           b) x=11π/6, 7π/6

c) x= -π/6, -5π/6         d) x= π/3, 2π/3

Correct answer is a)

300

True or False 

 If tan(θ) = 5 /7 , then sin(θ) = 5 and cos(θ) = 7.

False sinθ=5/√74 and cosθ =7√74

500

Determine the solutions for each equation where 0<x<2π: 3-3sinx-2cos2x=0

π/6, π/2, 5π/6