How do you find your h when finding the rule for a sine or cosine function?
Explanation (1)
Student Explanation
March 28, 2025
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.
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.
Do not hesitate to ask more questions!
Deleting this explanation will also permanently delete the question. Do you want to continue?