Reviewing solving trig equations

Extracting roots

100

Angles that satisfy 

cos²x=1.

What are 0 and π?

200

Angles satisfying 

tan²x-1=0.

What are π/4, 3π/4, 5π/4 and 7π/4?

300

Angles satisfying 

1+sin²x=0.

No Solutions

400

Angles satisfying 

2sin²x-1=0.

π/4, 3π/4, 5π/4, 7π/4

500

Angles satisfying 

7cos²x=1+3cos²x.

π/3, 2π/3, 4π/3, 5π/3

Give it a TRI

100

Angles satisfying 

sin²x-2sinx-3=0.

What is 3π/2?

200

Angles satisfying 

4cos²x+1=4cosx.

What are π/3 and 5π/3?

300

Angles satisfying 

2cos²x-cosx-1=0.

What are 2π/3, 4π/3 and 0?

400

Angles satisfying 

-2cos²x=3-6cos²x.

What are π/6, 5π/6, 7π/6, 11π/6?

500

Angles satisfying 

2sin²x+7sinx=4.

What are π/6 and 5π/6?

Common factors

100

Angles satisfying 

sin²x-sinx=0.

What are 0, π/4 and π?

200

Angles satisfying 

tan²x-√3tanx=0.

What are 0, π/3, π, and 4π/3?

300

Angles satisfying 

2cos²x=-cosx.

What are π/2, 2π/3, 3π/2, and 4π/3?

400

Angles satisfying 

1+cos²x = 3cosx.

What are π/4, 3π/4, 5π/4, and 7π/4?

500

Angles satisfying 

4sin³x=3sinx.

What are 0, π, π/3, 2π/3, 4π/3 and 5π/3?

It's only linear

100

Angles satisfying 

sinx-1=0.

What is π/4?

200

Angles satisfying 

cosx+1/√2=0.

What are 3π/4 and 5π/4?

300

Angles satisfying 

√3tanx + 1=0.

What are 5π/6 and 11π/6?

400

Angles satisfying 

1/√3tanx + 1 = 0.

What are 2π/3 and 5π/3?

500

Angles satisfying 

cosx = 3cosx + 2.

What is π?

Identities/Substitution

100

Angles satisfying 

-1+sec²x = 0.

What are 0 and π?

200

Angles satisfying 

3sin²x - cos²x = 0.

What are π/6, 5π/6, 7π/6 and 11π/6?

300

Angles satisfying 

2cos²x = sinx + 1.

What are π/6, 5π/6 and 3π/2?

400

Angles satisfying

csc²x-2 = -1.

What is π/2 and 3π/2?

500

Angles satisfying 

√3cotxsinx + 2cos²x=0.

What are π/4, 3π/2, 5π/6 and 11π/6?