Inverse Trigonometric Functions — Mathematics

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Question 1
EasyJEE

The value of sin⁡−1(cos⁡(π/3))\sin⁻¹(\cos(π/3)) is:

A. π/6π/6
B. π/3π/3
C. π/4π/4
D. π/2π/2
Question 2
EasyJEE

The principal value branch of sin⁡−1x\sin⁻¹x is:

A. [−π/2,π/2][-π/2, π/2]
B. (0, π)
C. [0, π]
D. (−π/2,π/2)(-π/2, π/2)
Question 3
EasyJEE

The principal value branch of cos⁡−1x\cos⁻¹x is:

A. [0, π]
B. [−π/2,π/2][-π/2, π/2]
C. (−π/2,π/2)(-π/2, π/2)
D. (0, π)

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