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

Starter: Sketch the trig. functions

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

Starter:

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

Main: What do you notice about the sine wave?

the function repeats itself every 360 degrees 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? 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?

Main: What do you notice about the cosine wave?

the function repeats itself every 360 degrees Even: 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? 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?

Main: What do you notice about the tan graph?

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, …

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?

Main: Extra practice questions on other board…

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

Plenary: What can you say about these graphs?

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