Question

How do you find the equation of tangent line to the curve `y = sin(x)` at x = pi?

Answer 1

`x+y=pi`.

Explanation:

At x = `pi, y = sin pi =0`.

y'=cos x. So, at `x = pi, y'=cos pi=-1`.

Now, the equation of the tangent at `x=pi` is

`y-0=-1(x-pi)`

Answer: `x+y=pi`.