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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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