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Questions  

The value of x for which SinCot11+x=CosTan1x is

a
12
b
1
c
0
d
-12

detailed solution

Correct option is D

We have sincot-11+x=costan-1x ⇒sinsin-111+1+x2=coscos-111+x2 ⇒11+1+x2=11+x2 ⇒1+x2=1+1+x2 ⇒x=-12

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