Answer:

Step-by-step explanation:
The general point on a unit circle is given by


where

is the terminal side of the angle in standard position.
Therefore


lies on this circle
This angle intersects the unit circle at

Hence we must have


The derivative of
is
.
In this exercise we must apply the definition of derivative, which is described below:
(1)
If we know that
, then the derivative of the expression is:




The derivative of
is
.
We kindly invite to check this question on derivatives: brainly.com/question/23847661