Answer-Find the value of sin(θ) if 2sinθ = tanθ, for 0 < θ < 90°.

Q: Answer-Find the value of sin(θ) if 2sinθ = tanθ, for 0 < θ < 90°.

We know that tan sincos. Given 2sin tan, we have 2sin sincos. Multiplying both sides by cos, we get 2sin cos sin. Dividing both sides by sin, we get 2cos 1. Thus, cos 12. Now, sin 1 - cos 1 - 12 1 - 14 34, so sin 32.

Question

Find the value of sin(θ) if 2sinθ = tanθ, for 0 < θ

< 90°.

A 1/2

B 1/√3

C √3/2

D 1

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Solution