Question

If $\sin \theta =x$ and $\sec \theta =y$, then find the value of $\cot \theta$.

Answer 1

It is given that,

$sin\theta =x$ and $sec\theta =y$

$\Rightarrow$ $cos\theta =\frac{1}{sec\theta }=\frac{1}{y}$

And, $cot\theta =\frac{cos\theta }{sin\theta }$

$\Rightarrow$ $cot\theta =\frac{1}{xy}$