Trigonometry

Ladakh Police Sub-Inspector · Mathematics · 96 practice questions with answers and explanations: 47 Easy, 49 Medium, 0 Hard.

Sample questions

Sample Easy question 1

If sec θ = 13/5, find tan θ.

  1. 11/5
  2. 10/5
  3. 12/5
  4. 13/5
Show answer

Answer: C. tan²θ = sec²θ - 1 = 169/25 - 1 = 144/25, so tan θ = 12/5.

Sample Easy question 2

If cosec θ = 25/7, find cot θ.

  1. 26/7
  2. 22/7
  3. 23/7
  4. 24/7
Show answer

Answer: D. cot²θ = cosec²θ - 1 = 625/49 - 1 = 576/49, so cot θ = 24/7.

Sample Easy question 3

If sec θ = 17/8, find tan θ.

  1. 14/8
  2. 16/8
  3. 13/8
  4. 15/8
Show answer

Answer: D. tan²θ = 289/64 - 1 = 225/64, so tan θ = 15/8.

Sample Medium question 4

Solve for θ (0°<θ<90°): 2 sin θ = 1.

  1. 30°
  2. 45°
  3. 90°
  4. 60°
Show answer

Answer: A. sin θ = 0.5, so θ = 30°.

Sample Medium question 5

Solve for θ (0°<θ<90°): √3 tan θ = 1.

  1. 90°
  2. 30°
  3. 45°
  4. 60°
Show answer

Answer: B. tan θ = 1/√3, so θ = 30°.

Sample Medium question 6

Solve for θ (0°<θ<90°): 2 cos θ = √3.

  1. 90°
  2. 30°
  3. 60°
  4. 45°
Show answer

Answer: B. cos θ = √3/2, so θ = 30°.

More Mathematics topics for Ladakh Police Sub-Inspector

Related articles