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MCQ practice · SSC Higher Mathematics Board questions · Chapter 8: Trigonometry

Dinajpur Board 2023

If cotθ = 3/4 and π < θ < 3π/2, which is correct?

  1. i. secθ = −5/3
  2. ii. sinθ + cosθ = −8/3
  3. iii. cosecθ = −5/4

Think it through first, then pick an option.

  1. a i and ii
  2. b i and iii
  3. c ii and iii
  4. d i, ii and iii
Answer and explanation

Correct answer: b i and iii

i and iii are true, ii is false: sinθ + cosθ = −4/5 − 3/5 = −7/5.

Why the other options are wrong

  • a i and ii: iii is true too: cosecθ = −5/4; and ii is false.
  • c ii and iii: ii is false: sinθ + cosθ = −7/5, not −8/3; i is true too.
  • d i, ii and iii: ii is false: sinθ + cosθ = −7/5; it is a different quantity from the one asked for.