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Trigonometry
Trigonometric Identities
jee_main_2026_april_6_shift_2
Grade None

Question:

If tan θ = 3/4 and θ is acute, find cos θ.
A. 3/5
B. 4/5
C. 5/3
D. 4/3

Step-by-Step Solution

Key Concept: Use tan θ = sin θ/cos θ = 3/4, and sin²θ + cos²θ = 1.
Step 1: tan θ = 3/4 => sin θ = 3k, cos θ = 4k. Step 2: sin²θ + cos²θ = 9k² + 16k² = 25k² = 1 => k = 1/5. Step 3: cos θ = 4/5.
Correct Answer: B
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