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Trigonometric Graphs L.O.

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Presentation on theme: "Trigonometric Graphs L.O."— Presentation transcript:

1 Trigonometric Graphs L.O.
All pupils can sketch the trigonometric identities All pupils can read off the trigonometric graphs

2 Starter: Sketch the trig. functions

3 Starter: sin 90 180 270 360 cos 90 180 270 360 tan 90 180 270 360

4 Starter:

5 Trigonometric Graphs L.O.
All pupils can sketch the trigonometric identities All pupils can read off the trigonometric graphs

6 Main: What do you notice about the sine wave?

7 the function repeats itself every 360 degrees
Main: Periodic: the function repeats itself every 360 degrees Odd: f(-x)=-f(x)

8 If y=0.5, what are the possible values for x?
Main: Periodic: the function repeats itself every 360 degrees Odd: f(-x)=-f(x) If y=0.5, what are the possible values for x? If y=-1, what are the possible values for x?

9 Main: What do you notice about the cosine wave?

10 the function repeats itself every 360 degrees Even:
Main: Periodic: the function repeats itself every 360 degrees Even: symmetrical about the y axis

11 If y=0.5, what are the possible values for x?
Main: Periodic: the function repeats itself every 360 degrees Even: symmetrical about the y axis If y=0.5, what are the possible values for x? If y=-1, what are the possible values for x?

12 Main: What do you notice about the tan graph?

13 the function repeats itself every 180 degrees Asymptotes:
Main: Periodic: the function repeats itself every 180 degrees Asymptotes: horizontal asymptotes at x=-90, 90, 270, …

14 If y=0.5, what are the possible values for x?
Main: Periodic: the function repeats itself every 180 degrees Asymptotes: horizontal asymptotes at x=-90, 90, 270, … If y=0.5, what are the possible values for x? If y=-1, what are the possible values for x?

15 Main: Extra practice questions on other board…

16 Trigonometric Graphs L.O.
All pupils can sketch the trigonometric identities All pupils can read off the trigonometric graphs

17 Plenary: What can you say about these graphs?

18 Trigonometric Graphs L.O.
All pupils can sketch the trigonometric identities All pupils can read off the trigonometric graphs


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