Solving Trig Equations: Identifying Techniques

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Set each factor equal to 0

What should you use to solve sin^2xcos^2x = 0?

Factor out a cosx

What should you use to solve sin^2xcosx - cosx = 0?

Multiply both sides by tanx

What should you use to solve tanx + 1 = sqrt(3) + sqrt(3)cotx?

Multiply both sides by tanx

What should you use to solve tanx - cotx = 0?

A double-angle identity for cos2x

What identity is: 2cos^2x - 1?

A half-angle identity for tan(x/2)

What identity is: sinx/(1 + cosx)?

Identity: sec^2x = 1 + tan^2x

What should you use to solve (tanx + sqrt(3))^2 = sec^2x?

Set each factor equal to 0

What should you use to solve (tanx - 1)(cosx - 1) = 0?

Use a half-angle formula

What should you use to solve 2sin(x/2) = 1?

Multiply both sides by sinx

What should you use to solve 2sinx - 1 = cscx

Factor out a tan^2x

What should you use to solve 2tan^2xsinx - tan^2x = 0?

Use a double-angle formula

What should you use to solve cos(2x) = cosx?

Identity: cos^2x = 1 - sin^2x

What should you use to solve cos^2x - sin^2x = 0?

Identity: cos^2x = 1 - sin^2x

What should you use to solve cos^2x = sin^2x + 1?

Identity: csc^2x = 1 + cot^2x

What should you use to solve csc^2x - 2cotx = 0?

Factor out a tanx

What should you use to solve sec^2xtanx - 2tanx = 0?


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