MathDB

Trig equation

Source:

March 18, 2011

trigonometrylogarithmsAMCAIMEalgebrapolynomialRational Root Theorem

Problem Statement

Suppose

x

is in the interval

[0,\pi/2]

and

\log_{24\sin{x}}(24\cos{x})=\frac{3}{2}

. Find

24\cot^2{x}