DifferentiationHard
Question
If y = tan-1 
, -π/2 < x < π/2, 
tan x < 1, then 
equals-
, -π/2 < x < π/2, tan x < 1, then equals-Options
A.1
B.-1
C.0
D.None of these
Solution
y = tan-1 
a = cosθ b = sinθ
y = tan-1
y = tan-1
y = tan-1 tan(x + θ) tan θ =
; q = tan-1
y = x + θ
y = x + tan-1
a = cosθ b = sinθ
y = tan-1
y = tan-1
y = tan-1 tan(x + θ) tan θ =
; q = tan-1y = x + θ
y = x + tan-1
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