Question

In a right triangle ABC right angled at C, if $\tan A=1$ then verify that 2$\sin A\cos A=1$

Answer 1

$\tan A=1\Rightarrow \tan A=\tan \frac{\pi }{4}\Rightarrow A=\frac{\pi }{4}2\sin A\cos A=2\sin A=\sin 2\times \frac{\pi }{4}=\sin \frac{\pi }{2}=1$