Question

$$\left. \begin{array} { l } { 64 B L A N C } \\ { \cos ^ { 2 } x \quad = \frac { \csc x \cos x } { \tan x + \cot x } } \end{array} \right.$$

Answer

s=cot(x)/(564*BLANCDATECo-csc(x)*co*x*tan(x))

Solution


Subtract \(\csc{x}cosx\tan{x}\) from both sides.
\[564BLANCDATECos-\csc{x}cosx\tan{x}=\cot{x}\]
Factor out the common term \(s\).
\[s(564BLANCDATECo-\csc{x}cox\tan{x})=\cot{x}\]
Divide both sides by \(564BLANCDATECo-\csc{x}cox\tan{x}\).
\[s=\frac{\cot{x}}{564BLANCDATECo-\csc{x}cox\tan{x}}\]