What is the maximum value of x ^ 2 + y ^ 2 = 1,3x-4y?

What is the maximum value of x ^ 2 + y ^ 2 = 1,3x-4y?

x^2+y^2=1
This form can be regarded as trigonometric function
Let x = Sina, y = cosa
,3x-4y=3sina-4cosa
=5*(3/5sina-4/5cosa)
=5sin some angle
So the maximum is obviously 5