Question

Fill in the blanks :
The value of $sin\theta cos\theta (tan\theta +cot\theta )$ is _____________.

Answer 1

$\sin \theta \cos \theta (\tan \theta +\cot \theta )$

$\sin \theta \cos \theta (\frac{\sin \theta }{\cos \theta }+\frac{\cos \theta }{\sin \theta })$

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

$=1$