Question

Sin5pi
Evaluate the trigonometric function using its period as an aid

Answer 1

sin function has a period of 2 pi which means sin(a+2pi)=sin(a)

Answer 2

so sin(5pi)=sin(pi+2pi+2pi)=...

Answer 3

Uh.. Can you cancel things out??

Answer 4

U can eliminate 2pi because the period is 2pi; meaning it repeats itself after 2pi :)

Answer 5

Okay, well this didn't really get through to me... Mind doing a different example?

Answer 6

sin(a+2pi)=sin(a) n it doesnt matter what a is....
sin(5pi)=sin(3pi+2pi) n put a=3pi, u find sin(5pi)=sin(3pi) ok?

Answer 7

Okay..

Answer 8

sin(3pi)=sin(pi+2pi) so a=pi this time....sin(3pi)=?

Answer 9

Sin(pi)??

Answer 10

yup yup :) n sin(pi)=0 so heres ur answer!

Answer 11

Thanks xD buy is there a formula?

Answer 12

hahahaa sine U ask for it, yes there is: sin(pi-a)=-sin(a) so in this case
sin(pi)=sin(pi-0)=-sin(0)=0

Answer 13

What if a is negative??

Answer 14

sin(pi-a)=-sin(a) is good for any a, + or -