SOLUTION: how many full cycles of the function y=2cos3x appear in 2pi radians? (1) 1 (2) 2 (3) 3 (4) 3pi/2

SOLUTION: how many full cycles of the function y=2cos3x appear in 2pi radians? (1) 1 (2) 2 (3) 3 (4) 3pi/2

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Question 629669: how many full cycles of the function y=2cos3x appear in 2pi radians?
(1) 1
(2) 2
(3) 3
(4) 3pi/2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
How many full cycles of the function y=2cos3x appear in 2pi radians?
Equation for cos function: y=Acos(Bx-C), A=amplitude, period=2π/B, phase shift=C/B
For given problem: y=2cos3x
B=3
period=2π/B=2π/3
Number of full cycles in 2pi radians=2π/(2π/3)=3
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