Q. What is the period of the function f(x)=3sin(2x−1)+4 ?Give an exact value.units
Determining the Period: The period of a sine function is determined by the coefficient of inside the sine function. The general form of a sine function is , where the period is given by .
Finding the Coefficient of x: For the function f(x) = 333\sin(222x - 111) + 444, the coefficient of x inside the sine function is 222. Therefore, we can find the period by using the formula 222\pi/b, where b = 222.
Using the Period Formula: Calculate the period using the formula: Period = 2π/b=2π/22\pi/b = 2\pi/22π/b=2π/2.
Calculating the Period: Simplify the expression to find the period: Period = π\piπ.
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