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

May 26, 2016

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

#### Explanation:

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

Convert everything to $\sin$ and $\cos$

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

Now cancel

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