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Statement I y = tan^(-1) ( tan x) " and...

Statement I `y = tan^(-1) ( tan x) " and " y = cos^(-1) ( cos x) " does not have nay solution , if " x in (pi/2, (3pi)/2)`
Statement II `y = tan^(-1)( tan x) = x - pi, x in (pi/2, (3pi)/2) " and " y = cos^(-1) ( cos x) = {{:(2pi - x", " x in [pi, (3pi)/2]),(" x, " x in [pi/2,pi]):}`

A

Statement I is True, Statement II is True, Statement II is a correct explanation for statement I

B

Statement I is True, Statement II is True, Statement II is NOT a correct explanation for Statement I

C

Statement I is True, Statement II is False

D

Statement I is False, Statement II is True.

Text Solution

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The correct Answer is:
A
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  • If tan x=3/4 pi lt x lt (3pi)/2 , then the value of "cos" x/2 is

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