If , then the value of is:

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 2)

Answer 1

Given:

Formula used:

tanθ =

Calculation:

2(sinθ + cosθ ) = 3(sinθ - cosθ)

2 sinθ + 2cosθ = 3 sinθ - 3 cosθ

5 cosθ = sinθ

= 5

tanθ = 5

now, perpendicular = 5 and base = 1

Using Pythagoras's theorem,

H² = P² + B²

H² = 25 + 1

H =

Now, sinθ = P/H and cosθ = B/H

sinθ =

cosθ =

According to the question,

= ()⁴ - ()⁴

-

=

∴ The correct answer is .

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