Question

If $tan\theta =1$, then find the value of $\theta$.

• A. $0^{\circ }$
• B. ${30}^{\circ }$
• C. ${45}^{\circ }$
• D. ${60}^{\circ }$

Answer 1

The correct option is C ${45}^{\circ }$

We know that ${45}^{\circ }$ is one of the standard angles.

$\tan {45}^{\circ }$ is a standard result and has a value of 1.

$\tan \theta$ = 1 (given)
$\Rightarrow tan\theta =tan{45}^{\circ }$
$\Rightarrow \theta ={45}^{\circ }$