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Which of the following is/are correct?...

Which of the following is/are correct?

A

`cos ( cos ( cos ^(-1) 1)) lt sin ( sin^(-1) ( sin ( pi - 1))) lt sin ( cos^(-1) ( cos( 2pi - 2)))`

B

`cos ( cos ( cos^(-1)1)) lt sin ( cos^(-1) ( cos ( 2pi - 2))) lt sin ( sin^(-1)( sin ( pi - 1))) lt tan ( cot^(-1) ( cot 1))`

C

`underset( t = 1) overset(5000) sum cos^(-1) ( cos ( 2 tpi - 1)) = underset( t =1) overset( 2500) sum cot ^(-1) ( cot ( t pi + 2)) " , where " t in I `

D

` cot^(-1) cot cosec^(-1) cosec sec^(-1) sec tan tan ^(-1) cos cos^(-1) sin ^(-1) sin 4 = 4 - pi`

Text Solution

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The correct Answer is:
A, B, C, D
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