뒤로Trigonometry 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
Identify the radian measure: .
Set up the conversion formula: Multiply the radian value by .
Write the expression: .
Simplify the expression by canceling and multiplying the numbers.
Try solving on your own before revealing the answer!

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
Identify the radian measure: .
Set up the conversion formula: Multiply by .
Write the expression: .
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
Identify the radian measure: .
Set up the conversion formula: Multiply by .
Write the expression: .
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
Identify the radian measure: .
Set up the conversion formula: Multiply by .
Write the expression: .
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
Identify the radian measure: .
Set up the conversion formula: Multiply by .
Write the expression: .
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.