Q. 54.3( 6 Votes )

# If (sin^{–1}x)^{2} + (sin^{–1}y)^{2} + (sin^{–1}z)^{2} = 3/4 π^{2}. Find x^{2} + y^{2} + z^{2}.

Answer :

Range of sin^{–1}x is .

Given that

Each of , and takes the value of .

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

Hence,

= x^{2} + y^{2} + z^{2}

= 1 + 1 + 1

= 3.

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