MAC 1114 Trigonome Homework HW Section 78 Score 0 of 1 pt 7

MAC 1114 Trigonome Homework: HW - Section 7.8 Score: 0 of 1 pt 7.8.17 8 of 8 Write the equation of a sine function that has the following characteristics. Amplitude: 7 Period: 5x Phase shift 3 Type the appropriate values to complete the sine function. y=| |sin (Use integers or fractions for any numbers in the expression. Simplity your answers) Enter your answer in the edit tields and then click Check Answer All parts showing

Solution

We have given Amplitude =7,period =5pi and Phase shift=-1/3

y=Asin(Bx-C) where A is Amplitude,period =2pi/B and Phase shift=C/B

for give A=7,5pi=2pi/B and -1/3=C/B

B=2pi/5pi=2/5

substitute B into -1/3=C/B

C/(2/5)=-1/3

C=-1/3*2/5=-2/15

y=Asin(Bx-C)

y=7sin((2/5)x+2/15) since A=7,B=2/5,C=-2/15