If sin-1 x = y then the value of y is-

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

If sin^-1 x = y then the value of y is-

Options:

-π/3 ≤ y ≤ π/3

-π/4 ≤ y ≤ π/4

-π≤ y ≤ π

-π/2 ≤ y ≤ π/2

Correct Answer:

-π/2 ≤ y ≤ π/2

Explanation:

It is given that sin^-1 = y

we know that the range of the principal value branch of sin^-1 is [-π/2,π/2]

Therefore -π/2 ≤ y ≤ π/2