What Is An Equation For A Sine Curve With Amplitude 2 And Period 4Pi Radians

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What Is An Equation For A Sine Curve With Amplitude 2 And Period 4pi Radians?

Answer: The equation for a sine curve with amplitude 2 and period 4 pi radians is f(x) = 2 sin(x/2).

How do you write an equation with amplitude and period?

How do you write a sine function with amplitude and period and phase shift?

How do you write an equation for a sine curve?

What is the period of the sine function in radians?

2π

The period of the sine and cosine functions is 2π (pi) radians or 360 degrees. For the tangent function the period is π radians or 180 degrees.

What is the general equation of a sine function with an amplitude of 2?

Answer: The equation for a sine curve with amplitude 2 and period 4 pi radians is f(x) = 2 sin(x/2). Let’s solve this step by step. Where Amplitude = a Time Period = 2π/b Phase Shift = c Vertical Shift = d. On Comparing we get: a = 2 b = 1/2 c = 0 d = 0.

What is the general equation of a sine function with an amplitude?

y = A sin Bx

A general equation for the sine function is y = A sin Bx. The A and B are numbers that affect the amplitude and period of the basic sine function respectively.

How do you write amplitude equation?

Amplitude is the distance between the center line of the function and the top or bottom of the function and the period is the distance between two peaks of the graph or the distance it takes for the entire graph to repeat. Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D.

How do you write a sine function with amplitude and period and midline?

How do you write an equation with amplitude period and phase shift calculator?

Finding the amplitude period and phase shift of a function of the form A × sin(Bx – C) + D or A × cos(Bx – C) + D goes as follows: The amplitude is equal to A The period is equal to 2π / B and. The phase shift is equal to C / B .

How do you find the equation of a sine function?

The general equation for a sinusoidal function is:

f(x)=±a⋅sin(b(x+c))+d.
Horizontal stretch is measured for sinusoidal functions as their periods. …
The ability to measure the period of a function in multiple ways allows different equations to model an identical graph.

How do you write a sine function?

Sine Equation:

The general sine equation with no vertical shift can be written as y=Asin(B(x−C)) y = A sin ⁡ ( B ( x − C ) ) . Here A is the amplitude of the equation. C is the phase shift of the equation.

How do you write trigonometric equations?

How do you find the period of a sine equation?

What is the formula for period?

… each complete oscillation called the period is constant. The formula for the period T of a pendulum is T = 2π Square root of√^L/_g where L is the length of the pendulum and g is the acceleration due to gravity.

How do you find the interval of a sine graph?

What is the general form of a trigonometric function with amplitude?

Period of Trigonometric Function

The general form is y = A sin Bx where |A| is the amplitude and B determines the period. Example: Find the period of the graph y = sin 2x and sketch the graph of y = sin 2x for 0 ≤ 2x ≤ π.

How do you graph 3cosx?

What is the period of y sin 3x )?

2π/3

We know that the period of sin x is 2π therefore the period of sin 3x is 2π/3. This implies the cycle of sin 3x repeats itself after every 2π/3 radians.

What is the amplitude of sin?

The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In other words the amplitude is half the distance from the lowest value to the highest value.

What is amplitude of a function?

The amplitude of a function is the amount by which the graph of the function travels above and below its midline. When graphing a sine function the value of the amplitude is equivalent to the value of the coefficient of the sine. … The amplitude is dictated by the coefficient of the trigonometric function.

How do you find the amplitude of a cosine function?

How do you find the period and amplitude of a graph?

How do you write the equation of a sine function that has the following characteristics?

What are the amplitude period and phase shift of the given function?

The Amplitude is the height from the center line to the peak (or to the trough). … Or we can measure the height from highest to lowest points and divide that by 2. The Phase Shift is how far the function is horizontally to the right of the usual position.

How do you find the amplitude period and phase shift of cosine?

How do you find the amplitude period of a horizontal shift and a vertical shift?

How do you find amplitude?

The Amplitude is the maximum height from the centerline to the peak (or to the trough). Another way to find amplitude is to measure the height from highest to lowest points and divide that by 2.

How do you find C in a sine function?

How do you write a sinusoidal equation with two points?

How do you solve trigonometry equations with radians?

What are trigonometric equations?

Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles. It is expressed as ratios of sine(sin) cosine(cos) tangent(tan) cotangent(cot) secant(sec) cosecant(cosec) angles. For example cos² x + 5 sin x = 0 is a trigonometric equation.

How do you find the equation of a trigonometric function from a graph?

What is the period of sine?

2π
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b just divide 2π by the coefficient b to get the new period of the curve.