The range of one branch of sin-1x, other than the principal value of b

1.	The range of one branch of sin-1x, other than the principal value of branch.
Answer» The principal value branch of y = cos^-1xis 0,π So one branch of cos ^-1x other than the principal branch is 2π, 3π. Range of a function is the maximum and minimum value of a function. Hence the range of sin^-1 x remains same for any branch. As it is a periodic function , so the maximum and minimum value will occur again and again at different branches.

The range of one branch of sin-1x, other than the principal value of branch.

Answer»

The principal value branch of y = cos^-1xis 0,π

So one branch of cos ^-1x other than the principal branch is 2π, 3π.

Range of a function is the maximum and minimum value of a function.

Hence the range of sin^-1 x remains same for any branch. As it is a periodic function , so the maximum and minimum value will occur again and again at different branches.

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The range of one branch of sin-1x, other than the principal value of branch.

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