Expo-Trig equation
Geometry
Level
3
\[ \large 81^{\sin^2{x}} + 81^{\cos^2{x}} = 30 \]
If \(A\) and \(B\) are the two values of \(x \in \left[0, \frac{\pi}{2}\right] \) such that the equation above is fulfilled, find the value of \(\dfrac{\pi}{A+B}\).
by
Rishav Koirala