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RRB Junior Engineer / DMS / CMA 2019 · Question 140 of 3719

Simplify: sin 780° sin 480° + cos 120° sin 30°

Mathematics - Trigonometry

  1. Aa. 0
  2. Bb. 2/3
  3. Cc. 1/3
  4. Dd. 1/2Correct

Answer: D. d. 1/2

Explanation

sin 780°sin 480° + cos 120° sin 30° sin (360° x 2 + 60° ) sin (360° + 120° ) + cos (90° + 30° ) sin30° sin 60° sin 120° - sin 30° sin 30° = [√ 3/2] sin (90° + 30° ) [1/2] [1/2] = [√3/2] cos 30° - 1/4 = [√ 3/2] [√ 3/2] - 1/4 = 3/4-1/4 = 2/4 = 1/2

Source: RRB JE 2019 CBT-1 (24-May-2019 Shift-1) — ixambee compilation with answer key and solutions · reliable-secondary

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