Write the equation of a sine or cosine function to describe
Write the equation of a sine or cosine function to describe the graph.
Solution
Amplitude ,A = 4
period = 6pi
General sine equation : y = Asin(Bx - C)
B = 2pi/period = 2pi/6pi = 1/3
y = 4sin(x/3 - C)
at x =15pi/4 ; y = 4 ; 4 = 4sin(15pi/12 - C)
pi/2 = 15pi/12 - C ; C = 15pi/12 - pi/2 = 9pi/12 = 3pi/4
y = 4sin(x/3 - 3pi/4)
