A sine wave function f(x) = a sin(bx) has amplitude 10 and period 40. What are the

values of a and b?
(A) a = 10 and b = 20/pi (
B) a = 10 and b = 1/40
(C) a = 10 and b = pi/20
(D) a = 10 and b = 40
E) None of the above.

3 answers

b = 2pi*f*t = 2*pi*1/T = 2pi/T = 2pi/40
= pi/20.
Answer: C.
CORRECTION:
b = 2pi*f = 2pi*1/T = 2pi/T = 2pi/40 =
pi/20.
Answer: C.
Write a sine function that has an amplitude of 4, period of 3π, and midline y = -3
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