what is the amplitude, period and phase shift of y= 8cos (x-90)
http://earthmath.kennesaw.edu/main_site/review_topics/ppsa_trig_functions.htm
To find the amplitude, period, and phase shift of the given function y = 8cos(x - 90), we can compare its equation to the standard form of a cosine function: y = Acos(Bx - C) + D.
The amplitude (A) represents half the distance between the maximum and minimum values of the function. In this case, the amplitude is 8.
The period (P) represents the distance between two consecutive repetitions of the function. The formula to calculate the period is given by P = 2π / |B|. In this case, the coefficient of x is 1 in the equation y = 8cos(x - 90). Therefore, the period is 2π / 1, which simplifies to 2π.
The phase shift (C) represents the horizontal shift of the function from the standard cosine function. It can be calculated using the formula C = D / B, where D is the horizontal shift. In this case, the horizontal shift is 90 units to the right (positive direction). So, the phase shift is 90 / 1, which simplifies to 90 degrees to the right.
Therefore, the amplitude is 8, the period is 2π, and the phase shift is 90 degrees to the right.