Aims: We will investigate the properties of some trigonometric
functions:
f(x) = a sin b(x  d) + c, f(x) = a cos b(x  d) + c, & f(x) = a tan b(x  d)
+ c.
We will also pay special attention to the concept of amplitude and period.
Study the function y = sin x above. Let us restrict for the moment to domain 0^{o} ≤ x ≤ 360^{o} .Observe that ymax = 1 when x=90^{o}.

Study the function y = cos x above. Let us restrict ourselves for the moment to domain 0^{o} ≤ x ≤ 360^{o} .Observe that


Let Y1 = a sin (bx) + c . Study the sine curve Y1 and let us again restrict
our domain to ONE period.
Let Y2 = a cos (bx) + c . Study the cosine curve Y2 and let us again restrict
our domain to ONE period.

Examples
Summary: Let f(x) be a trigonometric function that could be sine, cosine or tangent. y = a f(bx  d) + c
