Write the equation of a sine function that has the following

Write the equation of a sine function that has the following characteristics. Amplitude: 4 Period: 5 pi Phase shift - 1/5 Type the appropriate values to complete the sine function. y = sin (x +)

Solution

Amplitude:4 period :5pi phase shift:-1/5

The sine function is of the form

y= A sin(Bx+C)

where amplitude is A, period is 2pi/B and phase shift is -C/B

Comparing it with given values ,we get A=4, 2pi/B= 5pi

B:2/5

phase shift -C/B =-1/5

-C/2/5=-1/5

C= 2/25

required sine function is y= 4sin(2x/5 +2/25)