Question

Solve each of the following equations for θ, if 0^°<θ<〖360〗^°. Do not use a calculator or a table:

(a) 2sin⁡θ+√2= 0

Answer 1

`\bf 2sin(\theta)+√(2)=0\implies 2sin(\theta)=-√(2)\implies sin(\theta)=-\cfrac{√(2)}{2} \\\\\\ \measuredangle \theta=sin^(-1)\left( -\cfrac{√(2)}{2} \right)`

check your Unit Circle, that's a well known angle