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SSC CPO 2023 PYQ — Question 136

SSC CPO - 03 Oct 2023 - Shift 2 • Quantitative Aptitude • Q136

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The value of (1+ sin4A - cos4A) cosec2A is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 2.

Formula used:

a2 - b2 = (a + b)(a - b)

sin2A + cos2A = 1

Calculations:

⇒ (1+ sin4A - cos4A) cosec2A

⇒ (1 + (sin2A + cos2A)(sin2A - cos2A)) cosec2A

⇒ (1 + sin2A - cos2A) cosec2A

⇒ 2 × sin2A × cosec2A

⇒ 2