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What is the value of \cot\frac{A}{2} if \sin A = \frac{3}{5} ?

  • Option 1)

    \frac{2\sqrt2}{3}

  • Option 2)

    \frac{3}{2\sqrt2}

  • Option 3)

    3

  • Option 4)

    \frac{1}{3}

 

Answers (1)

best_answer

As we have learnt,

 

Results from Submultiples of an angle -

Results from submultiples of an angle 2

-

 

 \tan\frac{A}{2} = \frac{\sin A}{1 + \cos A} = \frac{\frac{3}{5}}{1 + \frac{4}{5}} = \frac{1}{3}

\therefore \cot\frac{A}{2} = 3

 


Option 1)

\frac{2\sqrt2}{3}

Option 2)

\frac{3}{2\sqrt2}

Option 3)

3

Option 4)

\frac{1}{3}

Posted by

Himanshu

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