If the value of θ + φ = \(\frac{\pi}{2}\), and cosecθ = 2, what will be the value of sinφ?

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Question

This question was previously asked in

HPCL Engineer Civil 23 Dec 2023 Official Paper

Answer 1

Given:

θ + φ = \(\frac{π}{2}\)

cosecθ = 2

Calculation:

cosecθ = 2

⇒ cosecθ = cosec π/6

⇒ θ = π/6

Now,

θ + φ = \(\frac{π}{2}\)

⇒ φ = π/2 - π/6 = π/3

So,

sinφ = sin π/3 = √3/2

∴ The correct answer is option (2).

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