Apps

TalentJR apps

How the apps work →
Free · Class 10 · 5 worksheets · answer keys · practise online · set 71

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.

💡 Learn it first

📐 The worksheets

🔄 New set of questions

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 71
Name:Date:Score:    / 8

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

  1. In △ABC, ∠B = 90°, AC = 87 cm, BC = 60 cm. Find cos A.
  2. In △ABC, ∠B = 90°, AC = 29 cm, BC = 20 cm. Find cosec A.
  3. In △ABC, ∠B = 90°, AB = 16 cm, BC = 30 cm. Find tan A.
  4. In △ABC, ∠B = 90°, AB = 21 cm, BC = 20 cm. Find cos A.
  5. In △ABC, ∠B = 90°, AC = 15 cm, BC = 9 cm. Find tan A.
  6. In △ABC, ∠B = 90°, AB = 24 cm, BC = 45 cm. Find cos A.
  7. In △ABC, ∠B = 90°, AC = 17 cm, BC = 15 cm. Find sec A.
  8. In △ABC, ∠B = 90°, AC = 5 cm, BC = 4 cm. Find sin A.

Find the other ratios

Class 10 · Worksheet 2 · set 71
Name:Date:Score:    / 8

Solve.

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

Standard angles

Class 10 · Worksheet 3 · set 71
Name:Date:Score:    / 10

Find the value.

  1. sec 60° − cos² 45° + 2 tan² 30° =
  2. 3 sin 30° + 3 cos 0° =
  3. 3 cos 0° + tan² 30° =
  4. 2 tan² 60° + 3 sin² 45° =
  5. 3 cosec² 60° − 3 cos 60° =
  6. 3 cos 60° + sin² 30° + 3 sin² 45° =
  7. 2 tan² 60° + 2 cos 90° =
  8. 3 sin² 45° + 2 sin² 30° − 2 sec² 45° =
  9. 3 sin 90° + 3 sin² 60° + 3 cos 60° =
  10. 3 sin² 45° + 2 cos 90° =

Simplify the identities

Class 10 · Worksheet 4 · set 71
Name:Date:Score:    / 12

Simplify.

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

Heights and distances

Class 10 · Worksheet 5 · set 71
Name:Date:Score:    / 6

Solve. Draw a figure first.

  1. From a point 39 m from the foot of a tower, the angle of elevation of its top is 30°. Find the height of the tower.
  2. A ladder 22 m long leans against a wall, making an angle of 30° with the ground. How high up the wall does it reach?
  3. A ladder 14 m long leans against a wall, making an angle of 60° with the ground. How high up the wall does it reach?
  4. A kite is flying on a string 4 m long. The string makes an angle of 30° with the ground. Find the height of the kite.
  5. A kite is flying on a string 18 m long. The string makes an angle of 60° with the ground. Find the height of the kite.
  6. A kite is flying on a string 22 m long. The string makes an angle of 30° with the ground. Find the height of the kite.

More worksheets

🧮 Algebra formulas sheet📍 Coordinate geometry worksheet🔢 Real numbers worksheet Noun worksheetsPronoun worksheetsArticles worksheetTenses worksheetPrepositions worksheetSubtraction worksheets All worksheets

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.

Are these worksheets free?

Yes — print them or save as PDF free. Every worksheet has an answer key.

How do I get different questions?

Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).

How do I print only one worksheet?

Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.

Can my child do this worksheet online, like a quiz?

Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.