What is the period of the graph of the equation \( y = 3 \cos 2x \)?
Answer (2)
The period of the graph of the equation y=3cos2x can be found by analyzing the coefficient of x within the cosine function. Normally, the period of cos(x) is 2π, but the presence of a coefficient like 2 in 2x indicates that the graph undergoes 2 complete cycles for every 2π interval on the x-axis.
Therefore, to find the period, you would divide the normal period of 2π by this coefficient, which gives us a period T = π. In summary, the equation y=3cos2x has a period of π.
The period of the graph of the equation y = 3 cos ( 2 x ) is π . This is calculated by dividing the standard period of the cosine function, 2 π , by the coefficient of x, which is 2. Therefore, the complete cycle of the function occurs in the interval from 0 to π .
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