Expo-Trig equation

Geometry Level 3

81sin2x+81cos2x=30 \large 81^{\sin^2{x}} + 81^{\cos^2{x}} = 30

If AA and BB are the two values of x[0,π2]x \in \left[0, \frac{\pi}{2}\right] such that the equation above is fulfilled, find the value of πA+B\dfrac{\pi}{A+B}.

×

Problem Loading...

Note Loading...

Set Loading...