Apps

TalentJR apps

How the apps work →
Free · Class 10 · 5 worksheets · answer keys · practise online · set 47

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 47
Name:Date:Score:    / 8

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

  1. In △ABC, ∠B = 90°, AB = 21 cm, BC = 20 cm. Find sec A.
  2. In △ABC, ∠B = 90°, AC = 13 cm, BC = 5 cm. Find sin A.
  3. In △ABC, ∠B = 90°, AC = 15 cm, BC = 12 cm. Find cosec A.
  4. In △ABC, ∠B = 90°, AC = 50 cm, BC = 14 cm. Find cos A.
  5. In △ABC, ∠B = 90°, AB = 30 cm, BC = 16 cm. Find cosec A.
  6. In △ABC, ∠B = 90°, AB = 24 cm, BC = 45 cm. Find cosec A.
  7. In △ABC, ∠B = 90°, AC = 25 cm, BC = 24 cm. Find sec A.
  8. In △ABC, ∠B = 90°, AB = 16 cm, BC = 30 cm. Find cos A.

Find the other ratios

Class 10 · Worksheet 2 · set 47
Name:Date:Score:    / 8

Solve.

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

Standard angles

Class 10 · Worksheet 3 · set 47
Name:Date:Score:    / 10

Find the value.

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

Simplify the identities

Class 10 · Worksheet 4 · set 47
Name:Date:Score:    / 12

Simplify.

  1. (1 − cos²θ) cosec²θ
  2. cosθ tanθ
  3. sin 18° / cos 72°
  4. sin 60° cos 30° + cos 60° sin 30°
  5. (1 − sin²θ) sec²θ
  6. sec²θ − tan²θ
  7. tanθ × cotθ
  8. 1 + cot²θ
  9. sin²θ + cos²θ
  10. tan(90° − θ)
  11. sin(90° − θ)
  12. cosec²θ − cot²θ

Heights and distances

Class 10 · Worksheet 5 · set 47
Name:Date:Score:    / 6

Solve. Draw a figure first.

  1. A ladder 22 m long leans against a wall, making an angle of 45° with the ground. How high up the wall does it reach?
  2. From a point 57 m from the foot of a tower, the angle of elevation of its top is 45°. Find the height of the tower.
  3. A tower is 36 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?
  4. A tower is 42 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 16 m long. The string makes an angle of 45° with the ground. Find the height of the kite.
  6. A tower is 48 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?

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.