Question

Urgent!!! plss help, will give brainliest

Answer 1

Answer:

1. $\tan \theta$ is not defined at $\theta = \frac{\pi}{2}$

2.  none of the option holds true

3. Option A

Step-by-step explanation:

1.

$\tan \theta = \frac{\sin \theta}{\cos\theta}$

$\tan \frac{\pi}{2} = \frac{\sin \frac{\pi}{2}}{\cos \frac{\pi}{2}}$

$\sin \frac{\pi}{2} = 1$

$\cos \frac{\pi}{2} =0$

$\tan \frac{\pi}{2} = \frac{1}{0}$

Hence

$\tan \frac{\pi}{2}$ is not defined

2.

$\frac{x}{12} = \sin 20$

$\frac{x}{12} = \cos 70$

$\frac{12}{x} = \cosec 20$

$\frac{12}{x} = \sec 70$

None of the above is given in the options

3.

The rule says

$\tan (-\theta)= - \tan \theta$

$\tan(-\frac{\pi}{3})= - \tan \frac{\pi}{3}$

$\tan(-\frac{\pi}{3})= - \sqrt 3$

Hence option A is correct