Question

If $\sec \theta .\sin \theta =0,$ then find the value of $\theta$.

Answer 1

Given $\text{sec}\theta .\sin \theta =0$

$⟹\frac{1}{\cos \theta }\times \sin \theta =0$

$⟹\tan \theta =0$

$⟹\theta =n\pi$ where $n=0,\pm 1,\pm 2,\cdots$