Q. 54.3( 6 Votes )

If (sin–1x)2 + (sin–1y)2 + (sin–1z)2 = 3/4 π2. Find x2 + y2 + z2.

Answer :

Range of sin–1x is .

Given that


Each of , and takes the value of .


x = 1, y = 1, and z = 1.


Hence,


= x2 + y2 + z2


= 1 + 1 + 1


= 3.


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