Sarkari RiseLogin
NDA 2025 · PYQ · Trigonometry · medium

Let p = sin35°, q = sin25° and r = sin(-95°). What is (p + q + r) equal to?

Answer

The correct answer is B: 0. p + q = sin35° + sin25° = 2sin30°cos5° = cos5°. r = sin(-95°) = -sin95° = -cos5°.

  1. A.-1
  2. B.0✓ Correct
  3. C.2sin5°
  4. D.2cos5°

Explanation

p + q = sin35° + sin25° = 2sin30°cos5° = cos5°. r = sin(-95°) = -sin95° = -cos5°. So p + q + r = cos5° - cos5° = 0.
💡 Practice unlimited NDA PYQs + AI-tracked progress on each topic. Sign up free →

More Trigonometry questions

Want more NDA practice?

Free daily 10-Q quiz · adaptive mocks · 49,000+ practice questions (19,000+ verified PYQs) · AI doubt solver in Hindi + English

Sign up freeMore Trigonometry practice