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SSC Selection Post 2025 PYQ — Question 45

SSC Selection Post - Graduation Level - 2nd August 2025 - Shift 3 • Quantitative Aptitude • Q45

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If tanA + secA = 5 and A is acute, then find the value of tanA.

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Correct answer: D

Explanation

tanA + secA = 5

Let tanA = x

secA = 5 − x

sec²A − tan²A = 1

(5 − x)² − x² = 1

25 − 10x + x² − x² = 1

25 − 10x = 1

10x = 24

x = 12/5

tanA = 12/5