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Trigonometry

Trigonometric Identities

jee_main_2026_april_8_shift_1

Grade None

Question:

If tan θ = 7/24 and θ is acute, find sin θ.

A. 7/25

B. 9/25

C. 12/25

D. 24/25

Step-by-Step Solution

Key Concept: Use tan θ = sin θ/cos θ = 7/24, and sin²θ + cos²θ = 1.

Step 1: tan θ = 7/24 => sin θ = 7k, cos θ = 24k. Step 2: sin²θ + cos²θ = 49k² + 576k² = 625k² = 1 => k = 1/25. Step 3: sin θ = 7/25.

Correct Answer: A

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