Reviewing solving trig equations

Extracting roots

100

Angles that satisfy cos²x=1.

What are 0 and pi?

200

Angles satisfying tan²x-1=0.

What are pi/4, 3pi/4, 5pi/4 and 7pi/4?

300

Angles satisfying sec²x-4=0.

What are pi/3, 2pi/3, 4pi/3, and 5pi/3?

400

Angles satisfying 2sin²x-1=0.

What are pi/4, 3pi/4, 5pi/4, and 7pi/4?

500

Angles satisfying 4cos²x-3=0.

What are pi/6, 5pi/6, 7pi/6, and 11pi/6?

Give it a TRI

100

Angles satisfying sin²x-2sinx-3=0.

What is 3pi/2?

200

Angles satisfying 4cos²x+1=4cosx.

What are pi/3 and 5pi/3?

300

Angles satisfying 2cos²x-cosx-1=0.

What are 0, 2pi/3, and 4pi/3?

400

Angles satisfying csc²x-2=-cscx.

What are pi/2, 7pi/6, and 11pi/6?

500

Angles satisfying 2sin²x+7sinx=4.

What are pi/6 and 5pi/6?

Common factors

100

Angles satisfying sin²x-sinx=0.

What are 0, pi/2 and pi?

200

Angles satisfying tan²x-sqrt(3)tanx=0.

What are 0, pi/3, pi, and 4pi/3?

300

Angles satisfying 2cos²x=-cosx.

What are pi/2, 2pi/3, 3pi/2 and 4pi/3?

400

Angles satisfying cosxcsc²x = 2cosx.

What are pi/4, pi/2, 3pi/4, 5pi/4, 3pi/2, and 7pi/4?

500

Angles satisfying 4sin³x=3sinx.

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

It's only linear

100

Angles satisfying sinx-1=0.

What is pi/2?

200

Angles satisfying secx+sqrt(2)=0.

What are 3pi/4 and 5pi/4?

300

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

What are 5pi/6 and 11pi/6?

400

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

What are 2pi/3 and 5pi/3?

500

Angles satisfying cosx = 3cosx + 2.

What is pi?

Substituting

100

Angles satisfying cscx - sinx = 0.

What are pi/2 and 3pi/2?

200

Angles satisfying 3sin²x - cos²x = 0.

What are pi/6, 5pi/6, 7pi/6, and 11pi/6?

300

Angles satisfying 2cos²x = sinx + 1.

What are pi/6, 5pi/6 and 3pi/2?

400

Angles satisfying 4tan²x + 4secx = -4.

What is pi?

500

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

What are pi/2, 5pi/6, 3pi/2, and 11pi/6?