What is the period of the function h(x)=5sin(4x-2)-3" ? " Give an exact value. units

Determining the Period: The period of a sine function is determined by the coefficient of x inside the sine function. The general form of a sine function is sin(bx), where the period is given by 2π/b. In the given function h(x) = 5sin(4x - 2) - 3, the coefficient of x inside the sine function is 4.Using the Formula: To find the period of h(x), we use the formula for the period of a sine function, which is 2π divided by the coefficient of x. The period P is therefore P = 2π/4.Calculating the Period: Perform the division to find the exact value of the period. P = 2π/4 = π/2.Checking for Errors: Check the calculation for any mathematical errors. The division is straightforward, and there are no complex operations, so the likelihood of a math error is low.

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What is the period of the function

h(x)=5sin(4x-2)-3" ? "
Give an exact value.
units

What is the period of the function $\newline$ $h(x)=5 \sin (4 x-2)-3 \text { ? }$ $\newline$ Give an exact value. $\newline$ units

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Algebra 1

Domain and range of quadratic functions: equations

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Q. What is the period of the function

\newline

h(x)=5 \sin (4 x-2)-3 \text { ? }

\newline

Give an exact value.

\newline

units

Determining the Period: The period of a sine function is determined by the coefficient of $x$ inside the sine function. The general form of a sine function is $\sin(bx)$ , where the period is given by $\frac{$ $2$ \pi}{b}. $\newline$ In the given function $h(x) =$ $5$ \sin( $4$ x - $2$ ) - $3$ , the coefficient of $x$ inside the sine function is $4$ .
Using the Formula: To find the period of h(x), we use the formula for the period of a sine function, which is $2\pi$ divided by the coefficient of $x$ . $\newline$ The period $P$ is therefore $P = \frac{2\pi}{4}$ .
Calculating the Period: Perform the division to find the exact value of the period. $P = \frac{2\pi}{4} = \frac{\pi}{2}$ .
Checking for Errors: Check the calculation for any mathematical errors. The division is straightforward, and there are no complex operations, so the likelihood of a math error is low.