Y= sin( x-45 degrees)do anyone know the answer to this problem?

We know that
sin(A-B)=sin A cos B - cos A sin B 
then 
sin(x-45)=sin x cos 45 - cos x sin 45
sin(45)=cos(45)=(√2)/2
 sin(x-45)=sin x *[(√2)/2] - cos x*[(√2)/2]-------> [(√2)/2]*[sinx-cosx]
y=sin(x-45)=[(√2)/2]*[sinx-cosx]

using a graph tool
see the attached figure

the answer is 
y=[(√2)/2]*[sinx-cosx]

The formula to find the amount is

A = P(1+r)^n

P is the principal

r = rate of interest

n is the number of years

Here P = $10,000

r= 10% = 0.10

n = 3 years

Substituting the values in the formula we get

A= 10,000 (1 + 0.10)^3

A= 10,000(1.10)^3

A= $13,310

The compound interest earned during the three years = 13,310 - 10,000 = $3,310

John will have $13,310 after 3 years.