Tasty Logarithm #4
Geometry
Level
3
\[\large \log_{\sin(x)} \cos (x) +\log_{\cos(x)} \sin(x) =2\]
If the minimum value of \(x\) that satisfy the equation above is equals to \(\dfrac{\pi}{a} \) for some constant \(a\), find the value of \(a\).
Give your answer to 3 decimal places.
Note: Angles are measured in radians.
This is the part of the set.
by
Parth Lohomi