Foundation & Higher

Trigonometry GCSE questions

SOHCAHTOA questions: pick sin, cos or tan from the sides you have, then find a side or an inverse angle.

Calculator

Degrees mode. Inverse sin is sin⁻¹, not 1/sin.

Practice questions

Cover the answers and have a go first. Worked solutions are underneath.

Question 1 [1 mark]

sin 30° = ?

Question 2 [1 mark]

Opposite 7, hypotenuse 25. sin θ = ?

Question 3 [2 marks]

θ = 30°, hypotenuse 12. Opposite side?

Question 4 [2 marks]

Opposite 5, adjacent 5. Angle θ?

Common mistakes

Answers and working

Q1. 0.5
Q2. 7/25
Q3. 6
Q4. 45°

Frequently asked questions

When do I use Pythagoras instead?

When you have two sides and need the third, and no angle other than 90° is involved.

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