Question #b8716

2 Answers
Aug 10, 2017

Removed previous post.

Explanation:

Apparently incorrect. Sorry.

Aug 10, 2017

sinx = npi, n in ZZ

sinx = 1/2pi+2npi, n in ZZ

Explanation:

sin^2x=sinx

sin^2x-sinx=0

sinx(sinx-1)=0

sinx=0 rArr x= npi, n in ZZ

sinx-1=0

sinx=1rArrx=1/2pi+2npi, n in ZZ

Note: we cannot just divide through by sinx and then solve sinx=1. This is because sinx can equal zero and division by zero is undefined. So what we need to do instead is get the equation in standard form, factor out any common factors and then solve for x.