##
The Derivatives of Trigonometric Functions - Exercise 1

**Exercise 1.** Find the equations of the tangent line and the
normal line to the graph of
at the
point
.

**Answer.** First we need to find the derivative of *f*(*x*) so
we can get the slope of the tangent line and the normal line. We
have

So we have

knowing that
and
.
Note that

So the equation of the tangent line at the point
is

the slope of the normal line to the graph at the point
is

which helps us find the equation of the normal line as

**
**

**
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