How do you prove (cosx)(cscx)(tanx)=1?

May 15, 2016

$\left(\cos x\right) \left(\csc x\right) \left(\tan x\right) = 1$

$\left(\cos x\right) \left(\frac{1}{\sin} x\right) \left(\sin \frac{x}{\cos} x\right) = 1$

I multiply $\cos x$ by $\left(\sin \frac{x}{\sin} x\right)$

$\left(\cos \sin \frac{x}{\sin} x\right) \left(\frac{1}{\sin} x\right) \left(\sin \frac{x}{\cos} x\right) = 1$

$\cos \frac{x}{\cos} x = 1$

Explanation:

I use
http://www.regentsprep.org/regents/math/algtrig/ATT9/morepythag.htm
to assist me in proving trigonometric identities and equations.
In the end, you have to play around with it.