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Statement -1: if -1lexle1 then sin^(-1)(...

Statement -1: if `-1lexle1 then sin^(-1)(-x)=-sin^(-1)x and cos^(-1)(-x)=pi-cos^(-1)x` Statement-2: If `-1lexlex then cos^(-1)x=2sin^(-1)sqrt((1-x)/(2))= 2cos^(-1)sqrt((1+x)/(2))`

A

Statement-1 is is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

Verified by Experts

clearly statement -1 true
putting `x =cos theta` we get
`2 sin^(-1) sqrt(1-x)/(2)=2cos^(-1) sqrt(1+x)/(2)=theta =cos^(-1)x`
so statement 2 is also true
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