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Secondary V • 3mo.

How do you find your h when finding the rule for a sine or cosine function?

Mathematics
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Explanations (1)

  • Explanation from Alloprof

    Explanation from Alloprof

    This Explanation was submitted by a member of the Alloprof team.

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    Team Alloprof • 3mo.

    Hello, PinkKiwi214!

    In both cases, h is the phase shift. It corresponds to a horizontal displacement of the transformed sine or cosine function with respect to the basic function.

    The sine or cosine function is periodic, so several possible phase shifts are possible for the same transformed function.

    Let's look at an example of the sine function.

    image.png

    In black is the basic sine function and in purple is the transformed sine function. We can say that it may have undergone a phase shift of π/2 or −3π/2.

    Here is a similar case for the cosine function.

    image.png

    Do not hesitate to ask more questions!

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