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The most general solution of \cot \theta = - \sqrt 3 \: \: and \: \: \csc \theta = -2is :

Option: 1

n \pi - \pi /6


Option: 2

n \pi -(-1) = \pi /6


Option: 3

2n \pi - \pi /6


Option: 4

none of these 


Answers (1)

best_answer

As we have learn in

 

General Solution of Trigonometric Ratios -

\sin \Theta = \sin \alpha

\Theta = n\pi + \left ( -1 \right )^{n}\alpha , n\epsilon I

- wherein

\alpha is the given angle

 

General Solution of Trigonometric Ratios -

\tan \Theta = \tan \alpha

\Theta = n\pi + \alpha , n\epsilon I

- wherein

\alpha is the given angle

 

 

\cot \theta = - \sqrt 3 \\\\ \tan \theta = - 1/ \sqrt 3 \\\\ \csc \theta = -2 \\\\ \sin \theta = -1/2 \\\\ \theta 

lies in 4th quadrant 

2n \pi - \pi /6

Posted by

jitender.kumar

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