# Thread: solving sine function

1. ## solving sine function

Hi there,

Can anyone help me solve this equation

Find a,b and c in the following sine function:

y=a sin(bx+c)

so that:

• the maximum value of y is 6 when x = o, y = 6
• the period of the graph is equal to pi
• a,b and c are positive and c is less than 2 pi

thanks

2. Originally Posted by masiboy
Hi there,

Can anyone help me solve this equation

Find a,b and c in the following sine function:

y=a sin(bx+c)

so that:

• the maximum value of y is 6 when x = o, y = 6
• the period of the graph is equal to pi
• a,b and c are positive and c is less than 2 pi
thanks
Your general form suggests no vertical translation so I would say if 6 was a maximum then it also must be your amplitude.

As the period is $\displaystyle \pi$ then having a maximum at zero for sine suggests a horizontal translation of $\displaystyle \frac{\pi}{4}$

I would guess the equation you are looking for is

$\displaystyle y=6sin(2(x-\frac{\pi}{4}))$

or

$\displaystyle y=6sin(2x-\frac{\pi}{2})$

3. thanks for ur help..much appreciated