Question

If sin $\theta$ = x, write the value of cot $\theta$.

Answer 1

$sin\theta =x$

$si{n}^2\theta +co{s}^2\theta =1$

$co{s}^2\theta =1-si{n}^2\theta =1-x^2$

$cos\theta =\sqrt{1-x^2}$

$cot\theta =\frac{cos\theta }{sin\theta }=\frac{\sqrt{1-x^2}}{x}$