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