sin(cot−1(1+x))=cos(tan−1x) ⇒cosec2(cot−1(1+x))=sec2(tan−1x)⇒1+[cot(cot−1(1+x))]2⇒=1+[sec(tan−1x)]2⇒(1+x)2=x2⇒x=−21
A value of x for which sin(cot−1(1+x))=cos (tan−1x), is :
Held on 9 Apr 2013 · Verified 6 Jul 2026.
−21
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21
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