Answer:
B) [tex]y=sin(x+\frac{\pi}{2})[/tex]
Step-by-step explanation:
Technically, since the function starts at its maximum, you could say the function is [tex]y=cos(x)[/tex], but the answer choices all use sine instead. Therefore, we will have to use the cofunction identity [tex]cos(x)=sin(x+\frac{\pi}{2})[/tex] and we can see that the correct answer is B.
The equation matches the function provided in the graph is y = sin(x + π/2) option (B) is correct.
It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
It is given that:
A graph of a trigonometric function is given:
As we know,
y = sinx has a sinusoidal graph
Based on the graph we can apply a transformation to get the required function.
Applying transformation:
x → x + π/2
The sin function will shift left side by π/2 unit
The equation of the function becomes:
y = sin(x + π/2)
The equation of the function shown in the graph is y = sin(x + π/2)
Thus, the equation matches the function provided in the graph is y = sin(x + π/2) option (B) is correct.
Learn more about the sin function here:
https://brainly.com/question/14397255
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