Trigonometryhard · Past Paper

Simplify: cos x / (1 - sin x)

Asec x + tan x
Bsec x - tan x
Ccosec x + cot x
D1

✓ Correct Answer: Asec 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.

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