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SSC CPO 2023 PYQ — Question 108

SSC CPO - 3 Oct 2023 - Shift 1 • Quantitative Aptitude • Q108

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Find the value of (tan2 θ + tan4 θ).

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. sec4 θ - sec2 θ.

We know that,

tan2θ = sec2θ - 1

Now,

⇒ (tan2 θ + tan4 θ)

⇒ ((sec2θ - 1) + tan4θ)

⇒ ((sec2θ - 1) + (tan2θ)2)

⇒ ((sec2θ - 1) + (sec2θ - 1)2)

⇒ ((sec2θ - 1) + (sec4θ + 12 - 2sec2θ))

⇒ (sec2θ - 1 + sec4θ + 1 - 2sec2θ)

⇒ sec4θ - sec2θ