DifferentiationHard

Question

If y = cos-1 (cos x), then at x = is equal to

Options

A.1
B.-1
C.1/√2
D.-1/√2

Solution

y = cos-1 (cos x)
∵  x =
⇒  y = cos-1 (cos (2π - x))                
⇒  y = 2π - x
= - 1

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