Question

If $\tan \theta =1$ then $\sin \theta \times \cos \theta =.....$

• A. $1$
• B. $2$
• C. $\sqrt{2}$
• D. $\frac{1}{2}$

Answer 1

The correct option is D $\frac{1}{2}$

$\tan \theta =1=\frac{x}{x}$
$\theta ={45}^o$

By Pythagoras theorem, hypotenuse $=\sqrt{2}$

$\therefore \sin \theta \times \cos \theta =\frac{1}{\sqrt{2}}\times \frac{1}{\sqrt{2}}=\frac{1}{2}$.