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SSC CHSL 2025 · PYQ · Trigonometry · medium

If 4cosA + 3secA = 4√3, 0° < A < 90°, then the value of 'A' is:

Answer

The correct answer is D: 30°. Testing A=30°: 4cos30°+3sec30° = 4×(√3/2)+3×(2/√3) = 2√3 + 6/√3 = 2√3 + 2√3 = 4√3 ✓. So A = 30°.

  1. A.60°
  2. B.25°
  3. C.45°
  4. D.30°✓ Correct

Explanation

Testing A=30°: 4cos30°+3sec30° = 4×(√3/2)+3×(2/√3) = 2√3 + 6/√3 = 2√3 + 2√3 = 4√3 ✓. So A = 30°.
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