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Find the principal value of each of the following:
We know that the principal value of is
Therefore the principal value of is .
Find the domain of each of the following functions:
f(x) = sin–1x2
f(x) = sin–1x + sinx
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.
If (sin–1x)2 + (sin–1y)2 + (sin–1z)2 = 3/4 π2. Find x2 + y2 + z2.