1. Grade 12 Advanced Functions (MHF4U) Unit 4: Trigonometry 2 Trigonometric Graphs Transformation 2
Mr. Choi
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2. Trigonometric Graphs y = sinx & y = cos x
Trigonometric Graphs Transformation
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3. Trigonometric Graphs y = tanx
Trigonometric Graphs Transformation
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4. Trigonometric Graphs y = cotx
Trigonometric Graphs Transformation
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5. Trigonometric Graphs y = cscx
Trigonometric Graphs Transformation
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6. Trigonometric Graphs y = secx
Trigonometric Graphs Transformation
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7. Trigonometric Graphs y = asinkx & y = acoskx
Trigonometric Graphs Transformation
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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
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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
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10. Example 2: Trigonometric Graphs Transformation
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11. Example 3: Converting Between Sine and Cosine
Convert the following from sine to cosine or vice versa.
Trigonometric Graphs Transformation
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12. Example 3: Converting Between Sine and Cosine
Convert the following from sine to cosine or vice versa.
Trigonometric Graphs Transformation
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13. Homework Text Book: P. 267 #4-7,9,10,13,15,18 Work Sheet:
WS: Converting between Sine & Cosine
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Trigonometric Graphs Transformation
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14. End of lesson Trigonometric Graphs Transformation
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