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

1 Answer
Feb 10, 2016

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