Question

Find the acute angle $\left(\theta \right)$ at which $sin\theta$ and $tan\theta$ are equal?

• A. ${45}^{\circ }$
• B. ${30}^{\circ }$
• C. ${90}^{\circ }$
• D. $0^{\circ }$

Answer 1

The correct option is D

$0^{\circ }$

Trigonometric angles for some specific acute angles are given below:

$\begin{array}{cccccc}\theta & 0^{\circ }& {30}^{\circ }& {45}^{\circ }& {60}^{\circ }& {90}^{\circ }\\ sin\theta & 0& \frac{1}{2}& \frac{1}{\sqrt{2}}& \frac{\sqrt{3}}{2}& 1\\ tan\theta & 0& \frac{1}{\sqrt{3}}& 1& \sqrt{3}& Notdefined\end{array}$
Here, $sin\theta =tan\theta =0at\theta =0^{\circ }$.