Question

$\tan \theta$ is not defined when $\theta$ is equal to

• A. $0$
• B. $\frac{\pi }{4}$
• C. $\frac{\pi }{6}$
• D. $\frac{\pi }{2}$

Answer 1

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

$\theta$ $0^o$ ${30}^o$ ${45}^o$ ${60}^o$ ${90}^o$

$\sin \theta$ $0$ $\frac{1}{2}$ $\frac{1}{\sqrt{2}}$ $\frac{\sqrt{3}}{2}$ $1$

$\cos \theta$ $1$ $\frac{\sqrt{3}}{2}$ $\frac{1}{\sqrt{2}}$ $\frac{1}{2}$ $0$

$\tan \theta$ $0$ $\frac{1}{\sqrt{3}}$ $1$ $\sqrt{3}$ Not defined

$\cot \theta$ Not defined $\sqrt{3}$ $1$ $\frac{1}{\sqrt{3}}$ $0$

$\sec \theta$ $1$ $\frac{2}{\sqrt{3}}$ $\sqrt{2}$ $2$ Not defined

$cosec\theta$ Not defined $2$ $\sqrt{2}$ $\frac{2}{\sqrt{3}}$ $1$