# solving equation using mathematical induction

#### jakobjakob

solving trigonometric equation using mathematical induction

Prove that this is true for every n. (n is an element of natural numbers)

cos(n*pi) = (-1)^n

I would very much appreciate your help, thank you.

Last edited:

#### johnsomeone

Re: solving trigonometric equation using mathematical induction

$$\displaystyle \text{Use: } \cos((n+1) \pi ) = \cos(n\pi + \pi) = \cos(n\pi)\cos(\pi) - \sin(n\pi)\sin(\pi), \text{ and continue on from there.}$$

Last edited:

#### jakobjakob

Re: solving trigonometric equation using mathematical induction