SOLUTION: how many cycles of the graph of y=2/3sin4data appear in an interval of 2pi radians? (1)2/3 (2)2 (3)pi (4)4

Question 629671: how many cycles of the graph of y=2/3sin4data appear in an interval of 2pi radians?
(1)2/3
(2)2
(3)pi
(4)4
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
how many cycles of the graph of y=2/3sin4data appear in an interval of 2pi radians?
Equation for sin function: y=Asin(Bx-C), A=amplitude, period=2π/B, phase shift=C/B
For given problem:y=2/3sin4x
B=4
period=2π/B=2π/4
Number of full cycles in 2pi radians=2π/(2π/4)=4
RELATED QUESTIONS
how many full cycles of the function y=2cos3x appear in 2pi radians? (1) 1 (2) 2 (3) 3 (answered by lwsshak3)

Consider the 720 permutations of the numbers 1, 2, 3, 4, 5, 6. In how many of these... (answered by greenestamps,ikleyn,Edwin McCravy)

Find all values of x that satisfy the equation 2cosx-1=0, in the interval [0, 2pi] The (answered by ikleyn,MathLover1)

How do you graph the function: y=3sin(x-pi/4)+2 in the interval from 0 to... (answered by Fombitz)

Find all solutions of the equation in the interval [0, 2pi). -4 cos x =-sin^2(x)+4... (answered by josgarithmetic)

y=2sin(x-pi/2)find the amplitude, phas shift, and period for the graph of each function. (answered by lwsshak3)

How to find the number of cycles in 2 pi?... (answered by Theo)

Sin^2(x)=1/2 on the interval of [0,2 pi], Give answers in radians. (answered by stanbon)

Find all solutions of the equation in the interval [0, 2pi). secTHETA + sqrt 2 = 0 (answered by Alan3354)