Question

Trig Identity

Answer 1

\[\huge \frac{ 1 }{ \frac{ 1 }{ cosx }+\frac{ sinx }{ cosx } }= \frac{ 1 }{ cosx }-\frac{ sinx }{ cosx }\]

Answer 2

simplify both left and right sides into 1 fraction... that's 1 way you can prove the left side is the same as the right side.

Answer 3

to get rid of the fraction over fraction, would this method be correct ? \[\huge \frac{ 1 }{ \frac{ 1 }{ cosx }+\frac{ sinx }{ cosx } }\]

Answer 4

\[\huge =\frac{ \cos^2x }{ \cos^2x }\]