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Class 11

Trigonometric Functions: Mixed Practice, Quiz

Five mixed questions on trigonometric functions. Pick one answer for each.

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

  1. Convert 225∘225^\circ to radians.
  2. sec⁡x=135\displaystyle \sec x = \tfrac{13}{5} and xx lies in quadrant IV. Find sin⁡x\sin x.
  3. Evaluate tan⁡19π4\displaystyle \tan \tfrac{19\pi}{4}.
  4. cos⁡x=35\displaystyle \cos x = \tfrac{3}{5} and sin⁡y=817\displaystyle \sin y = \tfrac{8}{17}, with xx and yy acute. Find cos⁡(x+y)\cos(x + y).
  5. Find sin⁡2π4+cos⁡2π6−tan⁡2π6\displaystyle \sin^2 \tfrac{\pi}{4} + \cos^2 \tfrac{\pi}{6} - \tan^2 \tfrac{\pi}{6}.
Unanswered questions are marked wrong.

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