Question
The value of x for which sin(cot−1(1+x))=cos(tan−1x) is:
Answer: Option D
:
D
sin(cot−1(1+x))=cos(tan−1x)⇒cot−1(1+x)=[π2±tan−1x]⇒π2−tan−1(1+x)=π2±tan−1x⇒1+x=±x
x=−12Which, on verification, satisfies the equation.
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:
D
sin(cot−1(1+x))=cos(tan−1x)⇒cot−1(1+x)=[π2±tan−1x]⇒π2−tan−1(1+x)=π2±tan−1x⇒1+x=±x
x=−12Which, on verification, satisfies the equation.
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