Trigonometrymedium · Past Paper
What is the value of tan(15)?
A2 - sqrt(3)
B2 + sqrt(3)
Csqrt(3) - 1
D1
✓ Correct Answer: A — 2 - sqrt(3)
tan(45-30) = (1 - 1/sqrt3)/(1 + 1/sqrt3) = (sqrt3-1)/(sqrt3+1) = 2 - sqrt3.
Share this question
More from Trigonometry
- A tower subtends an angle α at a point A and elevation of top of a flagstaff on it is β. If h is flagstaff height, tower height is:
- From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Find the tower height.
- A string of length 200 m is attached to a kite. If the string makes 30° with ground, what is the kite's height?
- From a lighthouse 100 m high, the angles of depression of two ships are 30° and 60°. If ships are on opposite sides, find distance between them.
- Simplify 3 sin A - 4 sin^3 A.