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HG U6D7 Radians and Reference Angles Nov7

Posljednje ažuriranje about 1 year ago

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Pitanje 1

1.

Draw a 60^o angle in standard position.

Pitanje 2

2.

Draw a 150^o angle in standard position.

Pitanje 3

3.

Draw a 330^o angle in standard position.

Pitanje 4

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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Pitanje 5

5.

90^o converted to radians becomes .

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Pitanje 6

6.

270^o converted to radians becomes .

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Pitanje 7

7.

10^o converted to radians becomes .

Convert Radians to Degrees

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Example:

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Pitanje 8

8.

π/9 radians converted to degrees is ^o.

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Pitanje 9

9.

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

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Pitanje 10

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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Pitanje 11

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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Pitanje 12

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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Pitanje 13

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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Pitanje 14

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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Pitanje 15

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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Pitanje 16

16.

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 .