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Grade 12 Advanced Functions (MHF4U) Unit 3: Trigonometry Double Angle Formulas Mr. Choi © 2017 E. Choi – MHF4U - All Rights Reserved.

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Presentation on theme: "Grade 12 Advanced Functions (MHF4U) Unit 3: Trigonometry Double Angle Formulas Mr. Choi © 2017 E. Choi – MHF4U - All Rights Reserved."— Presentation transcript:

1 Grade 12 Advanced Functions (MHF4U) Unit 3: Trigonometry Double Angle Formulas
Mr. Choi © 2017 E. Choi – MHF4U - All Rights Reserved

2 C.A.S.T. Rule Double Angle Formulas
© 2017 E. Choi – MHF4U - All Rights Reserved

3 Special Angles Double Angle Formulas
© 2017 E. Choi – MHF4U - All Rights Reserved

4 Addition and Subtraction Formulas
Double Angle Formulas © 2017 E. Choi – MHF4U - All Rights Reserved

5 Double Angle Formulas Double Angle Formulas
© 2017 E. Choi – MHF4U - All Rights Reserved

6 Example 1: Double Angle Formula
Express as a single trigonometric function.. Double Angle Formulas © 2017 E. Choi – MHF4U - All Rights Reserved

7 Example 2: Double Angle Formulas
5 3 x Double Angle Formulas © 2017 E. Choi – MHF4U - All Rights Reserved

8 Example 3: Double Angle Formulas
© 2017 E. Choi – MHF4U - All Rights Reserved

9 Example 3: Double Angle Formulas
© 2017 E. Choi – MHF4U - All Rights Reserved

10 Example 3: Double Angle Formulas
© 2017 E. Choi – MHF4U - All Rights Reserved

11 Example 4: Double and Half Angle Formula
Find the exact value of the followings. Double Angle Formulas © 2017 E. Choi – MHF4U - All Rights Reserved

12 Half Angle Formulas Isolate Isolate Double Angle Formulas
© 2017 E. Choi – MHF4U - All Rights Reserved

13 Half Angle Formulas Double Angle Formulas
© 2017 E. Choi – MHF4U - All Rights Reserved

14 Example 4: Half Angle Formula (Re-do)
Find the exact value of the followings. Double Angle Formulas © 2017 E. Choi – MHF4U - All Rights Reserved

15 Example 5: Double Angle Formulas
© 2017 E. Choi – MHF4U - All Rights Reserved

16 Homework Text Book: P. 232 #10, 12-15,20,21,23,25 Work Sheet:
Check the website for updates Double Angle Formulas © 2017 E. Choi – MHF4U - All Rights Reserved

17 End of lesson Double Angle Formulas
© 2017 E. Choi – MHF4U - All Rights Reserved


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