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Grade 11 Functions (MCR3U) Unit 4: Trigonometry Trigonometric Identities 2 Mr. Choi © 2018 E. Choi – MCR3U - All Rights Reserved.

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Presentation on theme: "Grade 11 Functions (MCR3U) Unit 4: Trigonometry Trigonometric Identities 2 Mr. Choi © 2018 E. Choi – MCR3U - All Rights Reserved."— Presentation transcript:

1 Grade 11 Functions (MCR3U) Unit 4: Trigonometry Trigonometric Identities 2
Mr. Choi © 2018 E. Choi – MCR3U - All Rights Reserved

2 Formulas (Overview) http://rhhsmath.ca/teachers/choi/TrigFormula.pdf
Trigonometric Identities 2 © 2018 E. Choi – MCR4U - All Rights Reserved

3 Formulas (Overview) http://rhhsmath.ca/teachers/choi/TrigFormula.pdf
Trigonometric Identities 2 © 2018 E. Choi – MCR3U - All Rights Reserved

4 Six Trigonometric Ratios
Trigonometric Identities 2 © 2018 E. Choi – MCR3U - All Rights Reserved

5 Trigonometric Identities 2
© 2018 E. Choi – MCR3U - All Rights Reserved

6 Trigonometric Identities 2
© 2018 E. Choi – MCR3U - All Rights Reserved

7 Trigonometric Identities 2
© 2018 E. Choi – MCR3U - All Rights Reserved

8 Visit the Math department web site for more identities for Grade 12!!
A trigonometric identity is a relation among trigonometric ratios that is true for all angles for which both sides are defined. The basic identities are being introduced in Trigonometric Identities (Day 1) Visit the Math department web site for more identities for Grade 12!! They are: i) Reciprocal Identities ii) Quotient Identities iii) Pythagorean Identities iv) Acute angles formulas Step 1 : Start from the complicated side; Step 2: Apply the identities and the objectives are to match the other side through simplifications. (Sometime you might have to simplify both sides and compare them) Trigonometric Identities 2 © 2018 E. Choi – MCR3U - All Rights Reserved

9 Example 1: Trigonometric Identities Prove:
Method 2 Trigonometric Identities 2 © 2018 E. Choi – MCR3U - All Rights Reserved

10 Example 1: Trigonometric Identities Prove:
© 2018 E. Choi – MCR3U - All Rights Reserved

11 Example 1: Trigonometric Identities Prove:
© 2018 E. Choi – MCR3U - All Rights Reserved

12 Example 1: Trigonometric Identities Prove:
© 2018 E. Choi – MCR3U - All Rights Reserved

13 Example 1: Trigonometric Identities Prove:
End of day 2 (Optional) Trigonometric Identities 2 © 2018 E. Choi – MCR3U - All Rights Reserved

14 Homework Text Book: Day 2: Trigonometric Identities 2 Work Sheet:
Day 3: P. 273 #1-8 Check the website for updates Trigonometric Identities 2 © 2018 E. Choi – MCR3U - All Rights Reserved

15 Example 1: Trigonometric Identities Prove:
© 2018 E. Choi – MCR3U - All Rights Reserved

16 Example 1: Trigonometric Identities Prove:
© 2018 E. Choi – MCR3U - All Rights Reserved

17 Example 1: Trigonometric Identities Prove:
© 2018 E. Choi – MCR3U - All Rights Reserved

18 Example 1: Trigonometric Identities Prove:
© 2018 E. Choi – MCR3U - All Rights Reserved

19 Homework Text Book: Day 2: Trigonometric Identities 2 Work Sheet:
Day 3: P. 273 #1-8 Check the website for updates Trigonometric Identities 2 © 2018 E. Choi – MCR3U - All Rights Reserved

20 End of lesson Trigonometric Identities 2
© 2018 E. Choi – MCR3U - All Rights Reserved


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