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Grade: 12
        
cot-1(sqrt(1+x2)-x) please give me solution...........................
5 months ago

Answers : (1)

Arun
11463 Points
							
Dear Manisha
put x = cot@
now 
sqrt (1 + x^2) = cosec@
now 
cot^-1 [cosec@ – cot@]
cot^-1 [(1 – cos@)/ sin@]
cot^-1 [(2 sin^2 @/2 ) / 2 sin@/2 * cos@/2]
cot^-1 [tan@/2]
cot^-1 [cot(pi/2 – @/2)]
\pi / 2 – ½ cot-1x
Regards
Arun (askIITians forum expert)
5 months ago
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