INVERSE TRIGO

What is the domain of the function cos¹ (2x - 3)?

• (A) [-1, 1]

• (B) (1,2)

• (C) (-1, 1)

• (D) [1, 2]

The principal value of [tan¹ √3-cot ¹(-√3)] is:

• (Α) π

• (C) 0

What is the principal value of sin⁻¹(sin(5π/6))?

• (A) -π/6

• (B) π/6

• (C) -π/3

• (D) π/3

The principal value of sec⁻¹(sec(7π/4)) is:

• (A) -π/4

• (B) π/4

• (C) -π/2

• (D) π/2

Answer explanation

The principal value of sec⁻¹(sec(7π/4)) is π/4 because sec(7π/4) equals 1/√2, and the principal value of sec⁻¹(1/√2) is π/4.

Find the principal value of tan⁻¹(tan(11π/6))

• (A) -π/6

• (B) π/6

• (C) -π/3

• (D) π/3

What is the domain of the function sin⁻¹(3x - 2)?

• (A) [-1, 1]

• (B) (1,2)

• (C) (-1, 1)

• (D) [1, 2]

The principal value of tan⁻¹(tan(17π/6)) is:

• (A) -π/6

• (B) π/6

• (C) -π/3

• (D) π/3