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What is period given by y=-2sin(2pi/7x)

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whenever the things contained by the sin function = a factor of 2pi , a complete cycle is made.
so in this case, whenever 2pi/7x = 2pi , a complete cycle is made.
2pi/7x = 2pi
1/7x = 2pi/2pi
1/7x = 1
7x = 1
x = 1/7
therefore, the period is x = 1/7 for every cycle
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