# Find the equation of the tangent and normal to the curve y=cosx at x=π/3?

##### 1 Answer

Tangent's equation is

Normal's equation is

#### Explanation:

First, you find **the first derivative of the function** then substitute with the given point

apply for the given function

At

Substitute with the point

Now **Substitute** in **the formula in green** with

to get **the equation of the tangent** to the curve at the given point

the normal to the curve would be at the same point but its slope is different and in order to get its slope

We use this

**Now Substitute** with **the equation of the normal**