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Class 9–10 Maths: Trigonometry practice questions

Practise trigonometry for Classes 9 and 10. Try the 8-question quiz below and see each answer explained straight away, then read all 8 worked examples with answers underneath. Free, no sign-up.

Trigonometry: worked examples with answers

These Maths questions are generated, so a fresh set appears every time you press "Practise more questions". Here are some worked examples.

1. Find the value of sin 90° − cos 60°.

   1. A. 3/2
   2. B. 1/2 ✓
   3. C. 1/4
   4. D. 1

   Answer: 1/2. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 90° − cos 60° = 1/2.

2. Find the value of tan 45° × cos 60°.

   1. A. 2
   2. B. 1
   3. C. 1/2 ✓
   4. D. 1/4

   Answer: 1/2. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. tan 45° × cos 60° = 1/2.

3. Find the value of sin 30° × cos 60° + tan 45°.

   1. A. 1/2
   2. B. 5/4 ✓
   3. C. 1
   4. D. 1/4

   Answer: 5/4. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 30° × cos 60° + tan 45° = 5/4.

4. Find the value of sin 30° + cos 60°.

   1. A. 1 ✓
   2. B. 3/2
   3. C. 5/4
   4. D. 2

   Answer: 1. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 30° + cos 60° = 1.

5. Find the value of 2 × sin 30° × cos 60°.

   1. A. 5/4
   2. B. 1/2 ✓
   3. C. 3/2
   4. D. 1

   Answer: 1/2. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. 2 × sin 30° × cos 60° = 1/2.

6. Find the value of tan 45° + sin 30°.

   1. A. 5/4
   2. B. 1
   3. C. 2
   4. D. 3/2 ✓

   Answer: 3/2. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. tan 45° + sin 30° = 3/2.

7. Find the value of cos 0° + sin 30°.

   1. A. 1/2
   2. B. 1/4
   3. C. 1
   4. D. 3/2 ✓

   Answer: 3/2. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. cos 0° + sin 30° = 3/2.

8. Find the value of sin 30° × cos 60°.

   1. A. 1/2
   2. B. 3/2
   3. C. 1/4 ✓
   4. D. 5/4

   Answer: 1/4. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 30° × cos 60° = 1/4.

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