Denominators are cubed

Geometry Level 3

Given that \(\dfrac{\sin^4 x}{2}+\dfrac{\cos^4 x}{3}=\dfrac{1}{5}\) and \(\dfrac{\sin^8x}{8}+\dfrac{\cos^8x}{27}\) which can be expressed as \(\dfrac{a}{b}\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

×

Problem Loading...

Note Loading...

Set Loading...