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Question

If A, B, C are the angles of a triangle, then
sin(B+C2)= ___.


A

cotA2

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B

cosA2

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C

sinA2

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D

tanA2

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Solution

The correct option is B

cosA2


A+B+C=180
(sum of angles of a triangle)

B+C=180A

B+C2=180A2

B+C2=90A2

Taking sine on both sides we get,

sin(B+C2)=sin(90A2)

sin(B+C2)=cosA2


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