Find the period and the amplitude of the periodic function y= -5 cos 6x
a. period = 1/3pi, amplitude = -5
b. period = 1/6pi, amplitude = 5
c. period = 1/6pi, amplitude = -5
d. period = 1/3pi , amplitude = 5
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period=1/3pi, amplitude=5
so wuts the answer?
tf...
please anyone got the answer
To find the period and the amplitude of the periodic function y = -5 cos(6x), you can use the general form of a cosine function: y = A cos(Bx).
The amplitude of a cosine function is the absolute value of the coefficient of the cosine term, which in this case is -5. Therefore, the amplitude is 5.
The period of a cosine function is given by the formula T = (2π) / B, where B is the coefficient of the x term. In this case, B = 6, so the period is T = (2π) / 6 = π/3.
Therefore, the correct answer is:
d. period = π/3, amplitude = 5
amplitude is always positive
cos(kx) has period 2Ï€/k
1.A
2.C
3.C
4.D
5.B
6.A
7.D
8.A
9.B