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Trigonometry
Trigonometric Identities
jee_main_2026_april_6_shift_2
Grade None

Question:

If cos θ = 12/13 and θ is acute, find tan θ.

Step-by-Step Solution

Key Concept: Use sin²θ + cos²θ = 1.
Step 1: sin²θ = 1 - (12/13)² = 1 - 144/169 = 25/169 => sin θ = 5/13. Step 2: tan θ = sin θ/cos θ = (5/13)/(12/13) = 5/12.
Correct Answer: 5/12
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