Reviewing solving trig equations

Extracting roots

100

Angles that satisfy cos²x=1

What are 0 and 180?

200

Angles satisfying tan²x-1=0 on [0,2pi)

What are 45, 135, 225 and 315?

300

Angles satisfying sec²x-4=0.

What are 60, 120, 240 and 300?

400

Angles satisfying 2sin²x-1=0.

What are 45, 135, 225, and 315?

500

Angles satisfying 4cos²x-3=0.

What are 30, 150, 210 and 330?

Give it a TRI

100

Angles satisfying sin²x-2sinx-3=0.

What is 270?

200

Angles satisfying 4cos²x+1=4cosx.

What are 60 and 300?

300

Angles satisfying 2cos²x-cosx-1=0.

What are 120, 240 and 0?

400

Angles satisfying csc²-2=-cscx.

What are 210, 330 and 90?

500

Angles satisfying 2sin²x+7sinx=4.

What are 30 and 150?

Common factors

100

Angles satisfying sin²x-sinx=0.

What are 0, 90 and 180?

200

Angles satisfying tan²x-sqrt(3)tanx=0 on [0,2pi)

What are 0, 180, 60 and 240?

300

Angles satisfying 2cos²x=-cosx.

What are 90, 270, 120 and 240?

400

Angles satisfying cosxcsc²x = 2cosx on [0,2pi)

What are 90, 270, 45, 135, 225, and 315?

500

Angles satisfying 4sin³x=3sinx.

What are 0, 180, 60, 120, 240 and 300?

It's only linear

100

Angles satisfying sinx-1=0 on [0,2pi)

What is 90?

200

Angles satisfying secx+sqrt(2)=0.

What are 135 and 225?

300

Angles satisfying sqrt(3)tanx + 1=0 on [0, 2pi)

What are 150 and 330?

400

Angles satisfying sqrt(3)cotx + 1 = 0 on [0, 2pi)

What are 120 and 300?

500

Angles satisfying cosx = 3cosx + 2.

What is 180?

Substituting

100

Angles satisfying cscx - sinx = 0.

What are 90 and 270?

200

Angles satisfying 3sin²x - cos²x = 0.

What are 30, 150, 210 and 330?

300

Angles satisfying 2cos²x = sinx + 1.

What are 30, 150 and 270?

400

Angles satisfying 4tan²x + 4secx = -4.

What is 180?

500

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

What are 90, 270, 150 and 330?