Answer to Question #144325 in Trigonometry for Shahir Sheikh

Question

Verify the identity on your own paper and upload a picture of your work.

tan(x)csc(x)cos(x)=1

Answer 1

$tan(x)csc(x)cos(x)=1$

But

$tan(x)=\frac{sin(x)}{cos(x)}$ and $csc(x)=\frac{1}{sin(x)}$

Simplifying L.H.S

$\frac{sin(x)}{cos(x)}\times\frac{1}{sin(x)}\times cos(x)$

$=1$

Since L.H.S=1 and R.H.S =1. Hence verified.