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Trigonometric Identities

8 practice questionsPrecalculusStep-by-step solutions

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1

Which identity is true for all angles θ\theta?

A.sin2(θ)+cos2(θ)=1\sin^2(\theta) + \cos^2(\theta) = 1
B.sin(θ)+cos(θ)=1\sin(\theta) + \cos(\theta) = 1
C.tan(θ)=sin(θ)+cos(θ)\tan(\theta) = \sin(\theta) + \cos(\theta)
D.cos2(θ)sin2(θ)=1\cos^2(\theta) - \sin^2(\theta) = 1
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2

tan θ is equal to:

A.cos θ / sin θ
B.sin θ / cos θ
C.1 / sin θ
D.sin θ · cos θ
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3

Which identity expresses sin(2θ)?

A.2 sinθ cosθ
B.sin²θ − cos²θ
C.2 cos²θ
D.1 − 2sin²θ
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