Solve. y=cos(x-(3pi)/(2))-1

Understand Cosine Function Properties: To solve the problem, we need to understand the properties of the cosine function and how it is affected by transformations. The function y = cos(x - (3π)/2) - 1 involves a horizontal shift and a vertical shift of the basic cosine function y = cos(x).Horizontal and Vertical Shifts: The horizontal shift is given by the phase shift (3π)/2 to the right. This means that the cosine function, which normally has a maximum at x = 0, will now have this maximum shifted to x = (3π)/2.Evaluate Function: The vertical shift is given by subtracting 1 from the cosine function. This means that the entire graph of the cosine function is shifted down by 1 unit.No Specific Value Provided: We can now evaluate the function at any value of x. However, since the problem does not specify a particular value of x, we cannot provide a numerical answer. Instead, we have described the transformation of the cosine function.

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Solve. $\newline$ $y=\cos \left(x-\frac{3 \pi}{2}\right)-1$

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Algebra 2

Sum of finite series starts from 1

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Q. Solve.

\newline

y=\cos \left(x-\frac{3 \pi}{2}\right)-1

Understand Cosine Function Properties: To solve the problem, we need to understand the properties of the cosine function and how it is affected by transformations. The function $y = \cos(x - \frac{3\pi}{2}) - 1$ involves a horizontal shift and a vertical shift of the basic cosine function $y = \cos(x)$ .
Horizontal and Vertical Shifts: The horizontal shift is given by the phase shift $(3\pi)/2$ to the right. This means that the cosine function, which normally has a maximum at $x = 0$ , will now have this maximum shifted to $x = (3\pi)/2$ .
Evaluate Function: The vertical shift is given by subtracting $1$ from the cosine function. This means that the entire graph of the cosine function is shifted down by $1$ unit.
No Specific Value Provided: We can now evaluate the function at any value of $x$ . However, since the problem does not specify a particular value of $x$ , we cannot provide a numerical answer. Instead, we have described the transformation of the cosine function.