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  • Can someone help me with this, - Trigonometry - JEE Main-2

What is the value of expression  \sin15\degree\sin75\degree?

  • Option 1)

    \frac{1}{}2

  • Option 2)

    \frac{1}{\sqrt2}

  • Option 3)

    \frac{1}{}4

  • Option 4)

    \frac{1}{}8

 

Answers (1)

best_answer

As we have learnt,

 

Results of Compound Angles -

\sin \left ( A+B \right )\sin \left ( A-B \right )= \sin ^{2}A-\sin ^{2}B

- wherein

A and B are two angles.

 

 It can be written as

\sin(\45\degree - 30\degree)\sin\(45\degree + 30\degree)

=\sin^2(\45\degree) - \sin^2(30\degree) = \frac{1}{2} - \frac{1}{}4 = \frac{1}{}4

 


Option 1)

\frac{1}{}2

Option 2)

\frac{1}{\sqrt2}

Option 3)

\frac{1}{}4

Option 4)

\frac{1}{}8

Posted by

Himanshu

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