If (sin 1 x) 2 + (sin 1 y) 2 + (sin 1 z) 2 = 3 4 π 2 . Find x 2 + y 2 + z 2 .

Q5 of 303 Page 5

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.

Find the domain of each of the following functions:

f(x) = sin^–1x + sin^–12x

If sin^–1x + sin^–1y + sin^–1z + sin^–1t = 2π, then find the value of

x² + y² + z² + t².

Find the domain of definition of f(x) = cos^–1(x²–4).

Find the domain of f(x) = cos^–12x + sin^–1x.