Trigonometryhard · Past Paper
Simplify: cos x / (1 - sin x)
Asec x + tan x
Bsec x - tan x
Ccosec x + cot x
D1
✓ Correct Answer: A — sec x + tan x
Multiply numerator and denominator by (1 + sin x) to get cos x(1 + sin x)/cos^2 x = (1 + sin x)/cos x = sec x + tan x.
Share this question
More from Trigonometry
- Shadow of tower is 30m when elevation is 30°. When elevation is 60°, shadow is:
- If a building's height is h and its shadow is h/√3, find the angle of elevation.
- Find value of cot 7.5°.
- A flagstaff on a tower 20 m high subtends 45° at a point 20 m from the foot. Flagstaff height?
- A bridge over a river makes an angle of 45° with the river bank. If the length of the bridge across the river is 150 m, find the width of the river.