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More Lessons for Grade 11

Math Worksheets

Videos, worksheets, solutions, and activities to help Algebra 2 students learn about coterminal angles.

How to determine if Two Angles Are Coterminal?

How to find angles that are coterminal to a given angle?

**How to plot angles in standard position and coterminal angles?**

An angle is in standard position if its vertex is at the origin and the initial side is on the positive x-axis.

An angle in standard position is said to lie in the quadrant in which its terminal side lies.

Angles in standard position having their terminal sides along the x-axis or y-axis, such as angles with measures 90°, 180°, 270°, and so on, are called quadrantal angles.

Coterminal angles are angles in standard position that have a common terminal side. For example 30°, 390° and -330° are all coterminal.

Example:

1. Find 2 angles that are coterminal with 135°.

2. Find the angles of least positive measure coterminal to each angle.

a) 1070°

b) -65°

3. What would be an expression you could use to express all angles coterminal to 90°?**How to find Coterminal Angles?**

What it means for two angles to be coterminal, and discuss a quick method on how to decide if two angles are in fact coterminal. Examples of finding angles that are coterminal to each other.

Example:

a) Which of the following angles is coterminal with an angle of 136°?

b) Which of the following angles is coterminal with an angle of -255°?**How to decide if angles are coterminal or not?**

Example:

a) Which of these is not a pair of coterminal angles?

(i) -400°, -40°

(ii) 340°, -50°

b) Which of these is not a pair of coterminal angles?

(i) 4°, 724°

(ii) -15°, -385°

**How to find angles that are coterminal to a given angle that also satisfy other conditions?**

(finding the smallest positive coterminal angle and finding the negative angle closest to zero that is coterminal with a given angle).

a) What is the smallest positive angle that can be coterminal with 575°

b) Find the negative angle closest to zero and coterminal with θ = 635°**Example:**

Determine if Two Angles Are Coterminal

Are 132° and -588° coterminal?**How to determine Coterminal Angles in Radian Measure?**

Example:

Determine a positive an negative angle that is coterminal to the given angle

a) π/3

b) -4π/5

More Lessons for Grade 11

Math Worksheets

Videos, worksheets, solutions, and activities to help Algebra 2 students learn about coterminal angles.

How to determine if Two Angles Are Coterminal?

How to find angles that are coterminal to a given angle?

An angle is in standard position if its vertex is at the origin and the initial side is on the positive x-axis.

An angle in standard position is said to lie in the quadrant in which its terminal side lies.

Angles in standard position having their terminal sides along the x-axis or y-axis, such as angles with measures 90°, 180°, 270°, and so on, are called quadrantal angles.

Coterminal angles are angles in standard position that have a common terminal side. For example 30°, 390° and -330° are all coterminal.

Example:

1. Find 2 angles that are coterminal with 135°.

2. Find the angles of least positive measure coterminal to each angle.

a) 1070°

b) -65°

3. What would be an expression you could use to express all angles coterminal to 90°?

What it means for two angles to be coterminal, and discuss a quick method on how to decide if two angles are in fact coterminal. Examples of finding angles that are coterminal to each other.

Example:

a) Which of the following angles is coterminal with an angle of 136°?

b) Which of the following angles is coterminal with an angle of -255°?

Example:

a) Which of these is not a pair of coterminal angles?

(i) -400°, -40°

(ii) 340°, -50°

b) Which of these is not a pair of coterminal angles?

(i) 4°, 724°

(ii) -15°, -385°

(finding the smallest positive coterminal angle and finding the negative angle closest to zero that is coterminal with a given angle).

a) What is the smallest positive angle that can be coterminal with 575°

b) Find the negative angle closest to zero and coterminal with θ = 635°

Determine if Two Angles Are Coterminal

Are 132° and -588° coterminal?

Example:

Determine a positive an negative angle that is coterminal to the given angle

a) π/3

b) -4π/5

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