## Trigonometry 7th Edition

Showed that given statement, $\sin\theta\sec\theta\cot\theta$ = $1$, is an identity as left side transforms into right side.
Given statement is- $\sin\theta\sec\theta\cot\theta$ = $1$ Left Side = $\sin\theta\sec\theta\cot\theta$ = $\sin\theta.\frac{1}{\cos\theta}.\frac{\cos\theta}{\sin\theta}$ (Using reciprocal and ratio identity) = $1$ ( As $\sin\theta$ cancels out $\sin\theta$ and $\cos\theta$ cancels out $\cos\theta$ ) = Right Side i.e. Left Side transforms into Right Side i.e. Given statement, $\sin\theta\sec\theta\cot\theta$ = $1$, is an identity.