Question

Find dy/dx given that y = 1 - cos x / sin x​

Answer 1

The above answer is spot on . Correct answer 6728191

Answer 2

tan x

Explanation:

The given function y is a quotient, so we must apply the quotient rule first. Recall that (d/dx)cos x = -sin x and that (d/dx)sin x = cos x.

Then the derivative of the given quotient is:

(sin x)[0 - (-sin x)] [sin x]^2

dy/dx = --------------------------- = ----------------- = 1

[sin x]^2 [sin x]^2