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SSC Selection Post 2025 PYQ — Question 40

SSC Selection Post - Higher Secondary Level - 28th July 2025 - Shift 2 • Quantitative Aptitude • Q40

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If tan θ + cot θ = k, then tan² θ + cot² θ is equal to:

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Correct answer: B

Explanation

(tan θ + cot θ)² = tan² θ + cot² θ + 2tan θ cot θ

tan θ cot θ = 1

k² = tan² θ + cot² θ + 2

tan² θ + cot² θ = k² − 2