Question

How do you use the amplitude and period to graph `f(x) = 3 Sin x + 4 Cos x`?

Answer 1

graph{3sinx + 4cosx [-11.5, 10.745, -5.525, 5.6]}

Explanation:

The amplitude is determined by computing:
`A = sqrt(3^2 + 4^2) = 5`
The zero is obtained by solving `f(x) = 0`
Note the period is `2pi`
`4cosx = -3 sinx`;
`tanx = -4/3`; `tan^-1 (-4/3) = x ~~ -.93`