If 0≤x≤1, thentan12sin−12x1+x2+12cos−11−x21+x2 is equal to
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a
2x1−x2
b
0
c
2x1+x2
d
x
answer is A.
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Detailed Solution
We know thatsin−12x1+x2=2tan−1x, if −1≤x≤1and, cos−11−x21+x2=2tan−1x, if 0≤x<∞∴ tan12sin−12x1+x2+12cos−11−x21+x2= tan2tan−1x for 0≤x≤1= tantan−12x1−x2=2x1−x2