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Trigonometry Exam 2 Study Guide: Angle Conversion and Applications

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Q29. Convert radians to degrees.

Background

Topic: Angle Conversion (Radians to Degrees)

This question tests your ability to convert an angle given in radians to degrees, a fundamental skill in trigonometry.

Key formula:

Step-by-Step Guidance

  1. Identify the radian measure: .

  2. Set up the conversion formula: Multiply the radian value by .

  3. Write the expression: .

  4. Simplify the expression by canceling and multiplying the numbers.

Try solving on your own before revealing the answer!

Convert each radian measure to degrees

Final Answer: 420°

degrees.

We canceled and multiplied to get the degree measure.

Q30. Convert radians to degrees.

Background

Topic: Angle Conversion (Radians to Degrees)

This question tests your ability to convert radians to degrees using the standard formula.

Key formula:

Step-by-Step Guidance

  1. Identify the radian measure: .

  2. Set up the conversion formula: Multiply by .

  3. Write the expression: .

  4. Simplify by canceling and multiplying the numbers.

Try solving on your own before revealing the answer!

Final Answer: 480°

degrees.

We canceled and multiplied to get the degree measure.

Q31. Convert radians to degrees.

Background

Topic: Angle Conversion (Radians to Degrees)

This question tests your understanding of converting radians to degrees, which is essential for working with angles in different units.

Key formula:

Step-by-Step Guidance

  1. Identify the radian measure: .

  2. Set up the conversion formula: Multiply by .

  3. Write the expression: .

  4. Simplify by canceling and multiplying the numbers.

Try solving on your own before revealing the answer!

Final Answer: 315°

degrees.

We canceled and multiplied to get the degree measure.

Q32. Convert radians to degrees.

Background

Topic: Angle Conversion (Radians to Degrees)

This question tests your ability to convert radians to degrees, which is a basic skill in trigonometry.

Key formula:

Step-by-Step Guidance

  1. Identify the radian measure: .

  2. Set up the conversion formula: Multiply by .

  3. Write the expression: .

  4. Simplify by canceling and multiplying the numbers.

Try solving on your own before revealing the answer!

Final Answer: 120°

degrees.

We canceled and multiplied to get the degree measure.

Q33. Convert radians to degrees.

Background

Topic: Angle Conversion (Radians to Degrees)

This question tests your ability to convert radians to degrees, which is important for interpreting angles in different units.

Key formula:

Step-by-Step Guidance

  1. Identify the radian measure: .

  2. Set up the conversion formula: Multiply by .

  3. Write the expression: .

  4. Simplify by canceling and multiplying the numbers.

Try solving on your own before revealing the answer!

Final Answer: 330°

degrees.

We canceled and multiplied to get the degree measure.

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