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Trigonometry

Trigonometric Identities

jee_main_2026_april_6_shift_1

Grade None

Question:

If tan θ = 5/12 and θ is acute, find sin θ.

A. 5/13

B. 7/13

C. 9/13

D. 12/13

Step-by-Step Solution

Key Concept: Use tan θ = sin θ/cos θ = 5/12, and sin²θ + cos²θ = 1.

Step 1: tan θ = 5/12 => sin θ = 5k, cos θ = 12k. Step 2: sin²θ + cos²θ = 25k² + 144k² = 169k² = 1 => k = 1/13. Step 3: sin θ = 5/13.

Correct Answer: A

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