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

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1 Answer
Yonas Yohannes
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#

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