One branch of cos^–1 other than the principal value branch corresponds to
One branch of cos–1 other than the principal value branch corresponds to
(A) [π/2, 3π/2]
(B) [π, 2π] - {3π/2}
(C) (0, π)
(D) [2π, 3π]
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We know that the principal value branch of cos-1x is [0, π].
Also, we know that the period of cosθ is 2π.
Now, let θ \(\in\) [2π, 3π]
And cos(2π – θ) = cos θ
Thus, 2π – θ \(\in\) [0, π].
Therefore, [2π, 3π] corresponds to the principal value branch for cos-1x.
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