MICDS IM2A Unit 4 Review Part 1 - Right Triangle Trigonometry

• x = π/6

• x = π/3

• x = π/6, 5π/6, 3π/2

• x = π/3 + 2nπ

3secθ = 3 + tan²θ

• θ = π/3 + 2nπ

• θ = 0, π/6, 7π/6,

• θ = π/6, π/2, 7π/6, 3π/2

• θ = 0, π/3, 5π/3, 2π

What is the domain of tan^-1(x)?

• (-∞,∞)

• (-π/2, π/2)

• [-π/2, π/2]

• [-1,1]

• [0, π]

What is the range of arctan(x)?

• (-∞,∞)

• (-π/2, π/2)

• [-π/2, π/2]

• [-1,1]

• [0, π]

What is the range of arcsin(x)?

• (-∞,∞)

• (-π/2, π/2)

• [-π/2, π/2]

• [-1,1]

• [0,π]

What is the range of cos^-1(x)?

• (-∞,∞)

• (-π/2, π/2)

• [-π/2, π/2]

• [-1,1]

• [0,π]

What is the range of arccot(x)?

• (-∞,∞)

• (-π/2, π/2)

• [-π/2, π/2]

• [-1,1]

• (0,π)

What is the domain of arccot(x)?

• (-∞,∞)

• (-π/2, π/2)

• [-π/2, π/2]

• [-1,1]

• [0,π]

What is the domain of csc^-1(x)?

• (-∞, -1) υ (1,∞)

• (-π/2, π/2)

• [-π/2, π/2]

• [-1,1]

• [0,π]

What error did Christine make?

• Didn't subtract 3 from both sides.

• didn't respond with x=cos^-1(3/2)

• divided both sides by sin x

• I don't know!