# Math Help - Find equations...

1. ## Find equations...

that are tangent and normal to the graph of

y = sin x + 3
at x = pie

How do I do this? I am not sure with trig functions.

2. Originally Posted by Morgan82
that are tangent and normal to the graph of

y = sin x + 3
at pie

How do I do this? I am not sure with trig functions.
Take the derivative to get $\cos x$. Plug in $x=\pi$ to get that the slope of the tangent line is $-1$. You are looking for a line with slope $-1$ that goes through the point $(\pi,3)$.

Spoiler:
$y-3=-(x-\pi)\implies y=-x+3+\pi$