Trigonometry Quiz

What is the value of θ if sin θ = √3/2?

• 60° or 120°

• 30° or 150°

• 45° or 135°

• 90° or 270°

Tags

CCSS.HSF.TF.B.7

What is the value of θ if cos θ = √2/2?

• 30° or 150°

• 45° or 135°

• 60° or 120°

• 90° or 270°

Tags

CCSS.HSF.TF.B.7

What is the range of θ when defining the inverse sine function, arcsin a = θ?

• A) -180° ≤ θ ≤ 180°

• B) 0° ≤ θ ≤ 180°

• C) -90° ≤ θ ≤ 90°

• D) 0° ≤ θ ≤ 90°

Tags

CCSS.HSF-BF.B.4D

For which values of a is the inverse cosine function, arccos a = θ, defined?

• A) -2 ≤ a ≤ 2

• B) -1 ≤ a ≤ 1

• C) 0 ≤ a ≤ 1

• D) All real numbers

Tags

CCSS.HSF.TF.B.7

What is the range of θ when defining the inverse tangent function, arctan a = θ?

• A) -180° ≤ θ ≤ 180°

• B) -90° ≤ θ ≤ 90°

• C) 0° ≤ θ ≤ 180°

• D) 0° ≤ θ ≤ 90°

Tags

CCSS.HSF-BF.B.4D

Which of the following is true for the inverse cosine function, arccos a = θ?

• A) sin θ = a and -90° ≤ θ ≤ 90°

• B) tan θ = a and -90° ≤ θ ≤ 90°

• C) cos θ = a and 0° ≤ θ ≤ 180°

• D) cos θ = a and -90° ≤ θ ≤ 90°

Tags

CCSS.HSF.TF.B.7

What is the value of arcsin(-1/2) in degrees?

• -30 degrees

• 30 degrees

• -60 degrees

• 60 degrees

Tags

CCSS.HSF.TF.B.7

What is the value of arcsin(√3/2) in degrees?

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

Tags

CCSS.HSF.TF.B.7

Is arcsin(2) within the domain of real numbers for the inverse sine function?

• Yes

• No

• Only in radians

• Only in degrees

Tags

CCSS.HSF-BF.B.4D

What is the value of arccos(-1) in degrees?

• 90 degrees

• 180 degrees

• 0 degrees

• 270 degrees

Tags

CCSS.HSF.TF.B.7