Trigonometry

Ladakh Prison Department · Mathematics · 96 practice questions with answers and explanations: 47 Easy, 49 Medium, 0 Hard.

Sample questions

Sample Easy question 1

Find the value of tan 60°.

  1. 2
  2. 0.577 (1/√3)
  3. 1.732 (√3)
  4. 1
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Answer: C. tan 60° = √3 ≈ 1.732.

Sample Easy question 2

Find the value of cosec 30°.

  1. 2
  2. 2.5
  3. 1
  4. 1.5
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Answer: A. cosec 30° = 1/sin 30° = 1/0.5 = 2.

Sample Easy question 3

Find the value of cosec 90°.

  1. 0.5
  2. 1
  3. 0
  4. Undefined
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Answer: B. cosec 90° = 1/sin 90° = 1/1 = 1.

Sample Medium question 4

Evaluate: cosec²30° - cot²30°

  1. 1.5
  2. 1
  3. 0
  4. 0.5
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Answer: B. By identity, cosec²θ - cot²θ = 1 for any angle.

Sample Medium question 5

Evaluate: cosec²60° - cot²60°

  1. 1
  2. 1.5
  3. 0
  4. 0.5
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Answer: A. By identity, this always equals 1.

Sample Medium question 6

If sin A = cos A (0°<A<90°), find A.

  1. 45°
  2. 90°
  3. 60°
  4. 30°
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Answer: A. sin A = cos A implies tan A = 1, so A = 45°.

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