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Q.

Tan12 Sin−12x1+x2−12 Cos−11−y21+x2 =

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a

0

b

1

c

x−y1+xy

d

x2−1x2+1

answer is C.

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Detailed Solution

Let x=Tan A, y=Tan BThen tan12sin-12x1+x2-12cos-11-y21+y2=tan12sin-12tanA1+tanA2-12cos-11-tanB21+tanB2 =tan12sin-1sin2A-12cos-1cos2B =tanA-B =tanA-tanB1+tanAtanB =x-y1+xy

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