Continuity and DifferentiabilityHard

Question

If cos-1 = log a then =

Options

A.-x/y
B.-y/x
C.y/x
D.x/y

Solution

cos-1 = loga
⇒  2tan-1 = log a ⇒ tan-1
⇒ y/x = tan
Now differentiating both sides, we get
= 0 ⇒

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