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Question

sinπ2-sin-1-32=


A

32

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B

-32

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C

12

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D

-12

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Solution

The correct option is C

12


Explanation for the correct answer:

Simplifying the given expression using trigonometric identities:

sinπ2-sin-1-32=cossin-1-32sinπ2=cos=coscos-1134sin-1x=cos-11-x2=134=4-34=14=12

Thus, sinπ2-sin-1-32=12

Therefore, option (C) is the correct answer.


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