Continuity and DifferentiabilityHard
Question
y = cos-1 
, then 
is equal to
, then is equal toOptions
A.
B.
C.
D.
Solution
y = cos-1
⇒
⇒
⇒
when x > 0
Alternate :
put x = tanθ
tan-1 x = θ ∈
y = cos-1
= cos-1 
y = cos-1 (cosθ/2)
y =
⇒
⇒
⇒
when x > 0
Alternate :
put x = tanθ
tan-1 x = θ ∈
y = cos-1
= cos-1 y = cos-1 (cosθ/2)
y =
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