Question

If sec thita . sin thita =0,then find the value of thita

Answer 1

`\large\boxed{\theta=k\pi,\ k\in\mathbb{Z}}`

Explanation:

`\sec\thets\cdot\sin\theta=0\iff \sec\theta=0\ \vee\ \sin\theta=0\\\\\sec\theta\\eq0\ \text{for any value of}\ \theta\\\\\sin\theta=0\Rightarrow\theta=k\pi\ \text{where}\ k\in\mathbb{Z}`