# find the graph , a polynomial in sint

*label*Calculus

*timer*Asked: Apr 6th, 2015

**Question description**

find sin(t) graph it is a polynomial in sin(t), so there is a polynomial such that:

f(t)=g(sin(t))?

it has horizontal tangent lines at sin(t) = 1/3 or sin t = 1 or sin t = -1

the graph passes through (0,1) and(pi/2 , 4)

interval [-pi,pi]

FIND THE FINCTION f(t)

(using these clues and derivatives)