What is an equation for a sine curve with amplitude 2 and a period 4pi radians?

The equation for a sine curve with amplitude 2 and a period 4π radians is .

Step-by-step explanation:

We have to write the Equation of Sine function with amplitude 2 and period 4π.

We know the equation of normal sine function with amplitude 1 and period 2π is as follows

y = sin(x)

We use the transformation of sine function.

To increase or decrease the amplitude we multiply the constant with normal sine function.

So, To increase the amplitude to 2

we have function , y = 2 × sin(x) = 2sin(x)

Now to have a period of 4π we divide the angle of sine function by 2

We get,

Therefore, The equation for a sine curve with amplitude 2 and a period 4π radians is

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step-by-step explanation:

the correct answer is d

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