Radians and Reference Angles

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What does it mean when an angle is in Standard Position? Discuss with your group, then write a few sentences to explain your reasoning:

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Draw a 30⁰ angle in Standard Position on the unit circle, remember to label the angle, including the direction from standard position:

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What angle is supplementary to 30⁰? (just write the number value, for example for 20⁰, write 20)

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What angle is complementary to 30⁰? (just write the number value)

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Draw the angle -30⁰ in standard position:

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Draw the angle 405⁰ in standard position:

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Converting between angle and radian measures:
What is 0⁰ in radians?

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Converting between angle and radian measures:
What is 30⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

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Converting between angle and radian measures:
What is 45⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

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Converting between angle and radian measures:
What is 60⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

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Converting between angle and radian measures:
What is 90⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

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Converting between angle and radian measures:
What is 180⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

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Converting between angle and radian measures:
What is 270⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

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Converting between angle and radian measures:
What is 360⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

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Draw and label the reference angle for a terminal angle of 290⁰:

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What is the reference angle for 290⁰?

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Draw and label the reference angle for a terminal angle of -5π/4, you can label the radian measures of your x and y axis to help:

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Radians and Reference Angles

What does it mean when an angle is in Standard Position? Discuss with your group, then write a few sentences to explain your reasoning:

Draw a 30⁰ angle in Standard Position on the unit circle, remember to label the angle, including the direction from standard position:

What angle is supplementary to 30⁰? (just write the number value, for example for 20⁰, write 20)

What angle is complementary to 30⁰? (just write the number value)

Draw the angle -30⁰ in standard position:

Draw the angle 405⁰ in standard position:

Converting between angle and radian measures:What is 0⁰ in radians?

Converting between angle and radian measures:What is 30⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 45⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 60⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 90⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 180⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 270⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 360⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Draw and label the reference angle for a terminal angle of 290⁰:

What is the reference angle for 290⁰?

Draw and label the reference angle for a terminal angle of -5π/4, you can label the radian measures of your x and y axis to help:

What is the reference angle for -5π/4? (you can writhe as π or pi)

What kind of an angle is this?

What kind of an angle is this?

What kind of an angle is this?

What kind of an angle is this?

What kind of an angle is this?

What kind of an angle is this?

What does it mean when an angle is in Standard Position? Discuss with your group, then write a few sentences to explain your reasoning:

Draw a 30⁰ angle in Standard Position on the unit circle, remember to label the angle, including the direction from standard position:

What angle is supplementary to 30⁰? (just write the number value, for example for 20⁰, write 20)

What angle is complementary to 30⁰? (just write the number value)

Draw the angle -30⁰ in standard position:

What is NOT a co-terminal angle to -30⁰?

Draw the angle 405⁰ in standard position:

What angle IS co-terminal to the angle 405⁰?

Converting between angle and radian measures:What is 0⁰ in radians?

Converting between angle and radian measures:What is 30⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 45⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 60⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 90⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 180⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 270⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:What is 360⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Draw and label the reference angle for a terminal angle of 290⁰:

What is the reference angle for 290⁰?

Draw and label the reference angle for a terminal angle of -5π/4, you can label the radian measures of your x and y axis to help:

What is the reference angle for -5π/4? (you can writhe as π or pi)

Converting between angle and radian measures:
What is 0⁰ in radians?

Converting between angle and radian measures:
What is 30⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 45⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 60⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 90⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 180⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 270⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 360⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 0⁰ in radians?

Converting between angle and radian measures:
What is 30⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 45⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 60⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 90⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 180⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 270⁰ in radians? (write out 'pi' or use the π symbol to type your answer)

Converting between angle and radian measures:
What is 360⁰ in radians? (write out 'pi' or use the π symbol to type your answer)