Trigonometry
Trigonometric Identities
jee_main_2026_jan_22_shift_1
Grade None
Question:
If \(\tan \theta = \frac{3}{4}\) and \(\theta\) is acute, find \(\sin \theta\).
A. 3/5
B. 4/5
C. 5/3
D. 4/3
Step-by-Step Solution
Key Concept: Use \(\tan\theta = \sin\theta/\cos\theta\).
Step 1: \(\tan\theta = 3/4 \Rightarrow \sin\theta = 3k, \cos\theta = 4k\). Step 2: \(9k^2 + 16k^2 = 25k^2 = 1 \Rightarrow k = 1/5\). Step 3: \(\sin\theta = 3/5\).
Correct Answer: A
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