I don't think so. You could write this function as x(t) = 10 cos(pi(t - 1/4)). The graph of x(t) = 10 cos(pi*t) has two transformations: a vertical expansion by a factor of 10 (that's your amplitude), and a compression toward the vertical axis by a factor of pi. This compression means that instead of having t intercepts at +/-pi/2, +/-3pi/2, +/-5pi/2, and so on, x(t) = 10 cos(pi*t) has t intercepts at +/-1/2, +/-3/2, +/-5/2, and so on.jayare81 said:Homework Statement
plot x(t) = 10cos((pi*t)-(pi/4))
Homework Equations
pi/4 is the shift to the right
jayare81 said:10 is the amplitude of the graph
pi is the radian frequency
The Attempt at a Solution
so i got the amplitude and shift to the right by pi/4 part but as for the radian frequency, my plot doesn't seem right. does pi mean that one cos wave occurs in a pi interval? thanks in advance
A sine function is a mathematical function that describes a wave-like pattern. It is defined as the ratio of the opposite side to the hypotenuse in a right triangle.
A cosine function is a mathematical function that describes a wave-like pattern. It is defined as the ratio of the adjacent side to the hypotenuse in a right triangle.
The period of a sine function is the distance between two consecutive peaks or troughs. It is equal to 2π or the length of one complete cycle.
The amplitude of a cosine function is the distance from the midline to the peak or trough. It is equal to the absolute value of the coefficient in front of the cosine function.
To graph a sine or cosine function, you can plot points using the x and y values from the function or use a graphing calculator. The x-values represent the angle in radians and the y-values represent the output of the function. You can also use the amplitude, period, and phase shift to help with graphing.