Inverse Trigonometric Functions

Q1.The principal value branch of sin⁻¹ has range:

• A[-π/2, π/2]
• B[0, π]
• C(-π/2, π/2)
• D[-1, 1]

Q2.For which x ∈ R does tan⁻¹(x²) = π/4?

• Ax = ±1
• Bx = 1 only
• Cx = –1 only
• DNo solution

Q3.The value of sin(sin⁻¹(0.5)) is:

• A0.5
• Bπ/6
• C1
• D0

Q4.The value of cot⁻¹(–1/√3) is:

• A–π/3
• Bπ/3
• C2π/3
• D4π/3

Q5.Which of the following is the correct domain of cosec⁻¹?

• A[-1, 1]
• BR – {0}
• CR – (–1, 1)
• DR