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Trigonometry
Trigonometric Identities
jee_main_2026_april_8_shift_2
Grade None

Question:

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

Step-by-Step Solution

Key Concept: Use 1 + tan²θ = sec²θ.
Step 1: 1 + tan²θ = sec²θ. Step 2: tan²θ = (13/12)² - 1 = 169/144 - 144/144 = 25/144. Step 3: tan θ = 5/12.
Correct Answer: 5/12
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