What is the equation of the graph below?

On a coordinate plane, a curve crosses the y-axis at y = 1 and then completes one cycle at 360 degrees.
y = sine (x + 90 degrees)
y = cosine (x + 90 degrees)
y = sine (x + 45 degrees)
y = cosine (x + 45 degrees

HELP!!!

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Answer:

A. y = sine (x + 90 degrees)

Step-by-step explanation:

  • y = cosine(x) is a curve that crosses the y-axis at y = 1 and completes one cycle at 360 degrees.
  • sine(x) have the same curve than cosine(x), but translated 90° to the right respect cosine(x)
  • f(x + c) translates f(x) horizontally c units to the left.
  • Then, sine(x + 90) is equivalent to cosine(x)

The equation that can be found  of the graph is y = sine (x + 90 degrees). Check more about the equation below.

What is the equation about?

Note that in the graph, y = cosine(x) is a curve that is said to have crossed the y-axis at y = 1 and thus it has make a full cycle at 360°.

Therefore, sine(x) is known to be of similar curve than cosine(x), but it is said to have translated 90° to the right in terms of cosine(x).

Therefore, sine(x + 90) =  cosine(x)

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