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zaharov [31]
3 years ago
11

Urgent!!! plss help, will give brainliest

Mathematics
1 answer:
mina [271]3 years ago
5 0

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

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