Expresswala Academy Mathematics Tuition
Search Book a free demo

Class 11

Compound, Multiple and Sum-to-Product Formulas, Quiz

Five questions on sum, double-angle and sum-to-product formulas. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. Find sin⁡75∘\sin 75^\circ exactly.
  2. tan⁡A=2\tan A = 2 and tan⁡B=13\displaystyle \tan B = \tfrac{1}{3}. Find tan⁡(A+B)\tan(A + B).
  3. sin⁡x=45\displaystyle \sin x = \tfrac{4}{5} and xx lies in quadrant II. Find sin⁡2x\sin 2x.
  4. cos⁡x=35\displaystyle \cos x = \tfrac{3}{5}. Find cos⁡2x\cos 2x.
  5. Simplify sin⁡5x+sin⁡xcos⁡5x+cos⁡x\displaystyle \dfrac{\sin 5x + \sin x}{\cos 5x + \cos x}.
Unanswered questions are marked wrong.

More practice

All practice quizzes