Listen I'm desperate here y(t) = distance of weight from equilibrium position

ω= angular frequency (measured in radians per second)

A = amplitude

Ø= phase (depends on initial conditions)

c1 = A sin

c2 = A cos

Prove that: Asin(ωt+Ø)=c2sinωt+c1cosωt

Note: c1 and c2 are actually with the number slightly below the letter, if that makes sense. It wouldn't let me type it that way. Anyway, if anyone can help I would really appreciate it! Thank you!

Solutions 

The equation of a horizontal line is y=value. The slope of a horizontal line is 0. The y-coordinate of every point on the graph of a horizontal line is value (y=value). The equation of a vertical line is x=value. The slope of a vertical line is undefined. The x-coordinate of every point on the graph or vertical line is value (x=value).

The general form of the equation of a line isax+by=c. Every line has an equation that can be written in slope-intercept form. When a graphing utility is used to sketch a straight line, the graph of the line may not visually appear to have the slope indicated by its equation because the tick marks are not equally spaced