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Grade 12 Advanced Functions (MHF4U) Unit 4: Trigonometry 2 Trigonometric Graphs Transformation 2 Mr. Choi © 2017 E. Choi – MHF4U - All Rights Reserved.

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1 Grade 12 Advanced Functions (MHF4U) Unit 4: Trigonometry 2 Trigonometric Graphs Transformation 2
Mr. Choi © 2017 E. Choi – MHF4U - All Rights Reserved

2 Trigonometric Graphs y = sinx & y = cos x
Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

3 Trigonometric Graphs y = tanx
Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

4 Trigonometric Graphs y = cotx
Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

5 Trigonometric Graphs y = cscx
Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

6 Trigonometric Graphs y = secx
Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

7 Trigonometric Graphs y = asinkx & y = acoskx
Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

8 Example 1: a) 2 -4 -1 3 -3 𝜋 For the sinusoidal functions given below
i) Draw the function and highlight one cycle of each function. ii) State the amplitude, period, phase shift, and vertical translation of each function. iii) State the domain and range. a) 2 -4 -1 3 -3 𝜋 𝜋/2 -𝜋/8 7𝜋/8 3𝜋/8 Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

9 Example 1: State the amplitude and period of each trigonometric function, then sketch the graph. b) 2.5 1.5 2 0.5 -0.5 4𝜋 2𝜋 2𝜋 6𝜋 4𝜋 Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

10 Example 2: Trigonometric Graphs Transformation
© 2017 E. Choi – MHF4U - All Rights Reserved

11 Example 3: Converting Between Sine and Cosine
Convert the following from sine to cosine or vice versa. Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

12 Example 3: Converting Between Sine and Cosine
Convert the following from sine to cosine or vice versa. Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

13 Homework Text Book: P. 267 #4-7,9,10,13,15,18 Work Sheet:
WS: Converting between Sine & Cosine Check the website for updates Trigonometric Graphs Transformation © 2017 E. Choi – MHF4U - All Rights Reserved

14 End of lesson Trigonometric Graphs Transformation
© 2017 E. Choi – MHF4U - All Rights Reserved


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