Pallen's Virtual Answer Key ;)

Use inverse functions where needed to find all solutions of the equation in the interval [0, 2π). sec²x-6secx=0

​1.403 and 4.880

Solve the following equation. sinx(5sinx+5)=0

0, π, 3π/2

Solve the following equation. cos²x+cosx=0

π, π/2, 3π/2

Solve the following equation. ​12sec²x-16=0

π/6, 5π/6, 7π/6, 11π/6

Find all solutions of the following equation in the interval [0, 2π). 5sec²x-5=0

0, π

Find all solutions of the following equation in the interval [0, 2π). 2cos³x=2cosx

0, π/2, π, 3π/2

Find all solutions of the following equation in the interval [0, 2π). sin³x=sinx

0, π/2, π, 3π/2

Perform the multiplication and use the fundamental identities to simplify. (sinx-cosx)²

1-2sinxcosx

Assignment 1: Trigonometry Review

25 Questions

Evaluate the following expression. 2(1+sina)(1-sina)

2cos²a

Find all solutions to the equation cot²x−cscx−1=0.

3π/2, π/6, 5π/6

Which of the following expressions is equivalent to 5/tanβ (β ≠ π/2+πn, where n is a whole number)

5sec²β/tanβ

Solve the following equation. 9cot²x-3=0

??? (NOT π/3, 2π/3, π)

Evaluate the expression. 1/tanx+cotx

??? (not cos²x)

Factor; then use fundamental identities to simplify the expression below and determine which of the following is equivalent. cot²a-cot²acos²a

cos²a

Use the fundamental identities to simplify the expression. sinθ/tanθ

cosθ

Simplify the following trigonometric expression. Then, select an equivalent expression. sinx+cotxcosx

cscx

Use the fundamental identities to simplify the expression. cotθsecθ

cscθ

Simplify the following trigonometric expression. Then, select the equivalent expression. cosx(1+tan²x)

secx

Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π). 2cos²x-cosx-1=0

x=0, 2π/3, 4π/3

Which of the following is a solution to the given equation? 2cosx-1=0

x=5π/3

Which of the following is a solution to the given equation? cscx-2=0

x=π/6

Solve the multiple-angle equation. sinx/2=√2/2

π/2, 3π/2

Find all solutions of the following equation in the interval [0, 2π). 5secxcscx=10cscx

π/3, 5π/3

Find all solutions to the equation sec²θ−secθ−2=0.

π/3, 5π/3, π