Factor out the common term \(\sec^{2}A\).
\[\sin^{2}A\sec^{2}A(1+co)=\sec^{2}A\]
Divide both sides by \(\sin^{2}A\).
\[\sec^{2}A(1+co)=\frac{\sec^{2}A}{\sin^{2}A}\]
Regroup terms.
\[(1+co)\sec^{2}A=\frac{\sec^{2}A}{\sin^{2}A}\]
Divide both sides by \(\sec^{2}A\).
\[1+co=\frac{\frac{\sec^{2}A}{\sin^{2}A}}{\sec^{2}A}\]
Simplify \(\frac{\frac{\sec^{2}A}{\sin^{2}A}}{\sec^{2}A}\) to \(\frac{\sec^{2}A}{\sin^{2}A\sec^{2}A}\).
\[1+co=\frac{\sec^{2}A}{\sin^{2}A\sec^{2}A}\]
Cancel \(\sec^{2}A\).
\[1+co=\frac{1}{\sin^{2}A}\]
Subtract \(1\) from both sides.
\[co=\frac{1}{\sin^{2}A}-1\]
Divide both sides by \(c\).
\[o=\frac{\frac{1}{\sin^{2}A}-1}{c}\]
o=(1/sin(A)^2-1)/c
