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Question

If tanA and tanB are the roots of x23x7=0, then the value of sin2(A+B) is

A
4855
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B
1673
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C
4873
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D
1655
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Solution

The correct option is C 4873
tanA,tanB are roots of x23x7=0

tanA+tanB=3
tanAtanB=7

So, tan(A+B)=31(7)=38

sin2(A+B)=2tan(A+B)1+tan2(A+B)=3/41+9/64
=4873

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