What is the tangent line to the graph of y= (cos 2x) / (sin x) at x = pi / 6 ?

Question

I have a test tomorrow :(, please help!!

Answer 1

The derivative is

(-2sin x sin 2x - cos 2x sin x)/sin²x

π/6 is the smaller angle is a so-called 30-60 right triangle so that the sines and cosines are easy to get

Plug in the values and you'll get the answer.