Question

If tan$\theta$ = cot$\theta$ , then find the value of sin$\theta$

Answer 1

$\tan \theta =\cot \theta \Rightarrow \tan \theta =\frac{1}{\tan \theta }\Rightarrow \tan {}^2\theta =1\Rightarrow \tan {}^2\theta =\tan {}^2\frac{\pi }{4}\Rightarrow \theta =\frac{\pi }{4}\Rightarrow \sin \theta =\sin \frac{\pi }{4}=\frac{1}{\sqrt{2}}$