Question

For what values of t on the interval
(-pie,pie) is f(t) = sin t increasing?

Answer 1

f is increasing where f' is positive on (- pi, pi).

Answer 2

can you walk me through the steps of how to solve this?

Answer 3

Are you in a calculus class? or precalc? if precalc, a graph could help a lot in understanding this.

Answer 4

pre calc

Answer 5

Graph the function, using -pi and pi as your x min and x max on the viewing window. http://www.wolframalpha.com/input/?i=sin+t+between+-pi+and+pi

when the function is rising up, that's where it's increasing.

It'll be between sinx = -1 and sinx = 1

which gives x= -pi/2 and x = pi/2

Answer 6

thank you so much!