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NDA 2024 · PYQ · Trigonometry · medium

What is (√3 cos10° – sin10°)/(sin25° cos25°) equal to?

  1. A.1
  2. B.√3
  3. C.2
  4. D.4✓ Correct

Explanation

√3 cos10° – sin10° = 2(cos30°cos10° – sin30°sin10°) = 2cos(30°+10°) = 2cos40° = 2sin50°. Denominator: sin25°cos25° = (1/2)sin50°. So the expression = 2sin50°/[(1/2)sin50°] = 4.
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