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If  \sin A/2 - \cos A /2 = -1/2 .   Then value of  \sin A = ?

  • Option 1)

    1/2

  • Option 2)

    3/2

  • Option 3)

    3/4

  • Option 4)

    1

 

Answers (1)

best_answer

As we have learned

Results from Submultiples of an angle -

\left | \sin \frac{A}{2}-\cos \frac{A}{2} \right |= \sqrt{1-\sin A}

-

 

 \left | \sin A/2-\cos A/2 \right |= \sqrt{1- \sin A}

1/2 = \sqrt{1- \sin A}\Rightarrow \sin A = 3/4

 


Option 1)

1/2

Option 2)

3/2

Option 3)

3/4

Option 4)

1

Posted by

Himanshu

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