1. Dividing Fractions To divide fractions,∗
To divide fractions,
multiply by the reciprocal of the denominator

2. Dividing Fractions To divide fractions,∗
To divide fractions,
multiply by the reciprocal of the denominator

3. Dividing Fractions 3) 4)

4. Dividing Fractions 3) 4)
4 5
1 6
4 7
1 4

5. I can complete the unit circle and convert degrees to radians
Warm Up
1. Fill in the blanks using reference angles (See Notes for a Hint)
a) 18, ______, ______, ______
b) _____, , ______, ______
c) _____, ______, ______, 320
d) _____, ______, , ______
2. Solve for x: 𝒍𝒐𝒈 𝟓 𝒙+ 𝒍𝒐𝒈 𝟓 𝒙=𝟒

6. Warm Up 1. Fill in the blanks using reference angles
d) _____, ______, , ______

7. Warm Up
2. Solve for x:
𝒍𝒐𝒈 𝟓 𝒙+ 𝒍𝒐𝒈 𝟓 𝒙=𝟒

8. Homework Questions

9. What is a Radian?
The angle made when the radius  is wrapped round the circle:
The Radian is a pure measure based on the Radius of the circle:

10. What is a Radian? 1 Radian is equal to 57.2958.degrees:
Radians = π Radians = 180°
How could I convert degrees to radians?

11. Defining a Radian Multiply by 𝜋 180°
To convert from degrees to radians ° 180° = 𝑥 𝜋 ( °) 𝜋 180°
Multiply by 𝜋 180°

12. Converting to Radians = 𝜋 4 radians = 2𝜋 3 radians
Example: 45° 𝜋 180° 120° 𝜋 180°
= 𝜋 4 radians
= 2𝜋 3 radians

13. Converting to Radians Practice 75° 235° 270° 195° 52° 5𝜋 12 radians

14. Defining a Radian Multiply by 180° 𝜋
To convert from radians to degrees 𝑥 ° 180° = 𝜋 ( ) 180° 𝜋
Multiply by ° 𝜋

15. Converting to degrees
Example: 𝜋 3 180° 𝜋 4𝜋 5 180° 𝜋
=60°
=144°

16. Converting to Degrees
Practice
2𝜋 3
5𝜋 6
𝜋 9
120°
150°
20°

17. Converting Degrees to Radians and Radians to Degrees
Classwork
Converting Degrees to Radians and Radians to Degrees

18. Unit Circle
Find the radian measure for each angle in your unit circle, making sure to reduce your fractions.

19. Trick for The Unit Circle

20. I can find the sine, cosine, and tangent of an angle when given the radian measure
Use your unit circle to find the exact value:
𝒄𝒐𝒔 𝟏𝟑𝟓°
𝒔𝒊𝒏(𝟐𝟏𝟎°)
𝒔𝒊𝒏( 𝟓𝝅 𝟑 °)
Convert:
𝟏𝟒𝟑°
𝟖𝝅 𝟑
120°

21. Reference Angles – Grab a Whiteboard to find the reference angles below
1.) 150° 2.) 165° 3.) 230° 4.) 300° 5.) 100° 6.) 5𝜋 4 7.) 3𝜋 4 8.) 4𝜋 3 9.) 7𝜋 6 10.) 11𝜋 6 11.) 2𝜋 3 12.) 5𝜋 6 13.) 5𝜋 3 14.) 7𝜋 4

22. I can find the sine, cosine, and tangent of an angle when given the radian measure
Use your unit circle to find the exact value:
𝒄𝒐𝒔 𝟐𝟐𝟓°
𝒔𝒊𝒏(𝟏𝟖𝟎°)
𝒔𝒊𝒏(−𝟑𝟎°)
Convert:
𝟏𝟔𝟓°
𝟓𝝅 𝟕
𝟒𝟓°

23. Warm Up Use your unit circle to find the exact value: 𝒄𝒐𝒔 𝟐𝟐𝟓°
𝒔𝒊𝒏(𝟏𝟖𝟎°)
𝒔𝒊𝒏(−𝟑𝟎°)

24. Warm Up
Convert:
𝟏𝟔𝟓°
𝟓𝝅 𝟕
𝟒𝟓°