Trigonometry
Trigonometric Identities
jee_main_2026_april_8_shift_2
Grade None
Question:
If cos θ = 9/41 and θ is acute, find tan θ.
A. 9/40
B. 40/9
C. 9/41
D. 40/41
Step-by-Step Solution
Key Concept: Use sin²θ + cos²θ = 1.
Step 1: sin²θ = 1 - (9/41)² = 1 - 81/1681 = 1600/1681 => sin θ = 40/41. Step 2: tan θ = sin θ/cos θ = (40/41)/(9/41) = 40/9.
Correct Answer: B
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