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Trigonometry

Trigonometric Identities

jee_main_2026_april_5_shift_1

Grade 12

Question:

If tan θ = 3/4 and θ is acute, find sin θ × cos θ.

A. 12/25

B. 16/25

C. 9/25

D. 7/25

Step-by-Step Solution

Key Concept: Use sin θ = 3/5, cos θ = 4/5.

Step 1: sin θ = 3/5, cos θ = 4/5. Step 2: sin θ × cos θ = 12/25.

Correct Answer: A

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