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Free · Class 10 · 5 worksheets · answer keys · practise online · set 11

Trigonometry worksheets — Class 10, with answers

Free Class 10 trigonometry worksheets: trigonometric ratios, find other ratios, standard angle values, simplifying trig identities and heights and distances (applications) — with answers.

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Trigonometric ratios (Class 10)Find the other ratios (Class 10)Standard angles (Class 10)Simplify the identities (Class 10)Heights and distances (Class 10)

Trigonometric ratios

Class 10 · Worksheet 1 · set 11
Name:Date:Score:    / 8

Find the ratio (use Pythagoras for the missing side).

  1. In △ABC, ∠B = 90°, AB = 21 cm, BC = 72 cm. Find tan A.
  2. In △ABC, ∠B = 90°, AB = 3 cm, BC = 4 cm. Find cosec A.
  3. In △ABC, ∠B = 90°, AC = 29 cm, BC = 21 cm. Find tan A.
  4. In △ABC, ∠B = 90°, AC = 58 cm, BC = 40 cm. Find cot A.
  5. In △ABC, ∠B = 90°, AB = 12 cm, BC = 9 cm. Find cosec A.
  6. In △ABC, ∠B = 90°, AB = 7 cm, BC = 24 cm. Find tan A.
  7. In △ABC, ∠B = 90°, AB = 8 cm, BC = 15 cm. Find cosec A.
  8. In △ABC, ∠B = 90°, AC = 10 cm, BC = 8 cm. Find cosec A.

Find the other ratios

Class 10 · Worksheet 2 · set 11
Name:Date:Score:    / 8

Solve.

  1. If tan A = 15/8, find sin A and cos A.
  2. If tan A = 21/20, find sin A and cos A.
  3. If sin A = 3/5, find cos A and tan A.
  4. If tan A = 5/12, find sin A and cos A.
  5. If sin A = 12/13, find cos A and tan A.
  6. If sin A = 15/17, find cos A and tan A.
  7. If sin A = 24/25, find cos A and tan A.
  8. If sin A = 21/29, find cos A and tan A.

Standard angles

Class 10 · Worksheet 3 · set 11
Name:Date:Score:    / 10

Find the value.

  1. 3 cos² 30° + cos² 45° =
  2. 3 tan² 30° − cos² 60° =
  3. 3 tan 45° + sec 60° =
  4. 2 cos² 45° + 2 cos² 30° =
  5. 2 cos² 45° − 3 tan² 30° =
  6. cos² 30° − 2 cosec 30° − 2 cos 90° =
  7. 2 sin² 45° + cos 90° =
  8. cos 60° − 2 cos 0° + 2 cos 0° =
  9. cos² 30° − 2 sec 60° + 3 cos² 60° =
  10. 2 cos² 45° + cosec² 60° =

Simplify the identities

Class 10 · Worksheet 4 · set 11
Name:Date:Score:    / 12

Simplify.

  1. 1 + tan²θ
  2. tan(90° − θ)
  3. sin(90° − θ)
  4. sin²θ + cos²θ
  5. sec²θ − tan²θ
  6. tan 26° / cot 64°
  7. 1 + cot²θ
  8. (1 − cos²θ) cosec²θ
  9. cosθ × secθ
  10. cosec²θ − cot²θ
  11. sinθ / cosθ
  12. (secθ + tanθ)(secθ − tanθ)

Heights and distances

Class 10 · Worksheet 5 · set 11
Name:Date:Score:    / 6

Solve. Draw a figure first.

  1. A ladder 16 m long leans against a wall, making an angle of 60° with the ground. How high up the wall does it reach?
  2. From a point 54 m from the foot of a tower, the angle of elevation of its top is 30°. Find the height of the tower.
  3. A ladder 10 m long leans against a wall, making an angle of 30° with the ground. How high up the wall does it reach?
  4. A tower is 51 m tall. The angle of elevation of its top from a point on the ground is 45°. How far is the point from the foot of the tower?
  5. A kite is flying on a string 26 m long. The string makes an angle of 45° with the ground. Find the height of the kite.
  6. From a point 54 m from the foot of a tower, the angle of elevation of its top is 45°. Find the height of the tower.

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Questions

How do I remember the trigonometric values?

Write 0, 1, 2, 3, 4 under 0°, 30°, 45°, 60°, 90°, divide each by 4 and take the square root — that gives sin. Write the same list backwards for cos.

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