Question

sin squared of x + sin x = 0 ?
Find all solutions to the equation.

Answer 1

\(sin^2(x)+sin(x)=0\)
\(sin(x)(sin(x)+1)=0\)
=>
sin(x)=0, sin(x)=-1
Remember "all solutions" means you have to add 2k\(\pi\) to your solution between 0 and 2\(\pi\), where k is an integer.

Can you find the solutions between 0 and 2\(\pi\)?