Find a possible formula for the trigonometric function whose

Find a possible formula for the trigonometric function whose values are in the following table (note the values in the table may be slightly rounded):

Solution

g(x)=b+asin(wx)

period T=2(from table)

w=2pi/2

b=4

g(x)=4+asin((pix)

substitute x=0.00,g(x)=4

get a=1

g(x)=4+sin(pix)