Trigonometry
GCE Mathematics
9 Trigonometry practice questions covering everything you need for GCE.
Drill Trigonometry →Sample Trigonometry questions
a) Given that sin θ = 5/13 and θ is acute, find without using tables or calculator, the values of: (i) cos θ (ii) tan θ (iii) sin 2θ b) The angle of elevation of the top of a vertical tower …
a) (i) Prove the trigonometric identity: (sin x + cos x)² + (sin x - cos x)² = 2 (ii) Hence, or otherwise, show that: (sin x + cos x)² = 1 + sin 2x b) In triangle ABC, AB = 7 cm, BC…
A ladder of length 10 m leans against a vertical wall. If the ladder makes an angle of 60° with the horizontal ground, how high up the wall does the ladder reach?
Simplify $\frac{\sin^2 \theta + \cos^2 \theta}{\cos \theta}$.
If sin θ = 3/5, find cos θ, given that θ is acute.
If $\cos(3x - 10)° = \sin(x + 20)°$, find the value of x.
In triangle PQR, PQ = 8 cm, QR = 6 cm and angle PQR = 120°. Find PR, correct to the nearest whole number. [Use the cosine rule]
The angle of elevation of the top of a tower from a point 50 m away on level ground is 30°. Find the height of the tower, correct to the nearest metre. [Take √3 = 1.732]
Find the value of tan 45° + sin 30°.