User:Sebleblanc/math

Done.
 * 1) $${\frac{2\sin t * \cos t}{\sin t} } - {\frac{\cos^2 t - \sin^2 t}{\cos t} } = \sec t$$
 * 2) $${2\cos t} - ({\cos t - \frac{\sin^2 t}{\cos t} }) = \sec t $$
 * 3) $${2\cos t} - {\cos t} + {\frac{\sin^2 t}{\cos t}} = \sec t$$
 * 4) $${\cos t} + {\frac{\sin^2 t}{\cos t}} = \sec t$$
 * 5) $${\cos t}*{\frac{\cos t}{\cos t}} + {\frac{\sin^2 t}{\cos t}} = \sec t$$
 * 6) $$\frac{\cos^2 t}{\cos t} + {\frac{\sin^2 t}{\cos t}} = \sec t$$
 * 7) $$\frac{\cos^2 t + \sin^2 t}{\cos t} = \sec t$$
 * 8) $$\frac{1}{\cos t} = \sec t$$