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## Homework Statement

Everyline tanjent to the function y=sin x has a y-intercept. Among all these tanjent lines, somewere between 0<x<2pi, find the equation of the line with the highest y-intercept.

## Homework Equations

derivative of sinx=cosx

Second derivative is -sinx

## The Attempt at a Solution

I got both of the derivatives and know that x = 0 when it equals pi and 2pi, I know the slope when x=pi is -1 so thats probabley the slope. But how would i figure out the y-intercept and put it in an equation?