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Find the principal value of each of the following:
cos y =
We need to find the value of y.
We know that the value of cos is negative for the second quadrant and hence the value lies in [0, π].
cos y = – cos
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.