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HG U6D7 Radians and Reference Angles Nov7

Last updated about 1 year ago

16 Nsɛmmisa

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Asemmisa {{asɛmmisaAhyɛnsode}}

1.

Draw a 60^o angle in standard position.

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Draw a 150^o angle in standard position.

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

Draw a 330^o angle in standard position.

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

An angle is made up of two rays extending from the same point.
Draw an angle in standard position so that one ray lands in Quadrant III.
What is the measure of your angle?
Standard Position = One ray at 0^o

Convert Degrees to Radians

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Example:

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Asemmisa {{asɛmmisaAhyɛnsode}}

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90^o converted to radians becomes .

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Asemmisa {{asɛmmisaAhyɛnsode}}

6.

270^o converted to radians becomes .

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Asemmisa {{asɛmmisaAhyɛnsode}}

7.

10^o converted to radians becomes .

Convert Radians to Degrees

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Example:

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Asemmisa {{asɛmmisaAhyɛnsode}}

8.

π/9 radians converted to degrees is ^o.

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Asemmisa {{asɛmmisaAhyɛnsode}}

9.

4π/3 radians converted to degrees is ^o.

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Asemmisa {{asɛmmisaAhyɛnsode}}

10.

3π radians converted to degrees is ^o.

Would you like to review basic angle concepts?

Watch the video.

Reference Angles

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Example:

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Asemmisa {{asɛmmisaAhyɛnsode}}

11.

If the question is asked in degrees, then answer in degrees. If the question is asked in radians, answer in radians.

The reference angle for 220^o is ^o.

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Asemmisa {{asɛmmisaAhyɛnsode}}

12.

If the question is asked in degrees, then answer in degrees. If the question is asked in radians, answer in radians.

The reference angle for 15π/16 is .

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Asemmisa {{asɛmmisaAhyɛnsode}}

13.

If the question is asked in degrees, then answer in degrees. If the question is asked in radians, answer in radians.

The reference angle for 330^o is ^o.

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Asemmisa {{asɛmmisaAhyɛnsode}}

14.

If the question is asked in degrees, then answer in degrees. If the question is asked in radians, answer in radians.

The reference angle for 135^o is ^o.

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Asemmisa {{asɛmmisaAhyɛnsode}}

15.

If the question is asked in degrees, then answer in degrees. If the question is asked in radians, answer in radians.

The reference angle for 2π/3 is .

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Asemmisa {{asɛmmisaAhyɛnsode}}

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If the question is asked in degrees, then answer in degrees. If the question is asked in radians, answer in radians.

The reference angle for 11π/6 is .