Question

Prove the following identities

(a)(cos t)(tan t)(csc t) =1

Answer 1

It follows that

$\cos t\cdot\tan t\cdot\csc t\\ =\cos t\cdot\frac{\sin t}{\cos t}\cdot\frac{1}{\sin t}\\= \frac{\cos t\cdot\sin t}{\cos t\cdot\sin t}=1$