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/3, 3π/4, 5π/4 and 7π/4?

300

Angles satisfying sec²x-4=0.

What are π/3, 2π/3, 4π/3 and 5π/3?

400

Angles satisfying 2sin²x-1=0.

What are π/4, 3π/4, 5π/4, and 7π/4?

500

Angles satisfying 4cos²x-3=0.

What are π/6, 5π/6, 7π/6 and 11π/6?

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 csc²-2=-cscx.

What are 7π/6, 11π/6 and π/2?

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/2 and π?

200

Angles satisfying tan²x-√3tanx=0.

What are 0, π, π/3 and 4π/3?

300

Angles satisfying 2cos²x=-cosx.

What are π/2, 3π/2, 2π/3 and 4π/3?

400

Angles satisfying cosxcsc²x = 2cosx.

What are π/2, 3π/2, 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/2?

200

Angles satisfying secx+√(2)=0.

What are 3π/4 and 5π/4?

300

Angles satisfying sqrt(3)tanx + 1=0.

What are 5π/6 and 11π/6?

400

Angles satisfying √(3)cotx + 1 = 0.

What are 2π/3 and 5π/3?

500

Angles satisfying cosx = 3cosx + 2.

What is π?

Substituting

100

Angles satisfying cscx = - sinx 

What are π/2 and 3π/2?

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 4tan²x + 4secx = -4.

What is π?

500

Angles satisfying √(3)cotxsinx + 2cos²x=0.

What are π/2, 3π/2, 5π/6 and 11π/6?