Sketch one cycle of the cosine function y=-cos 3 theta

Question

asked Nov 28, 2019 129k views

2 Answers

Justin Tanner · Answer 1 · 2019-11-29T21:52:30+0000

Answer with explanation:

The given cosine function is

y= - cos 3 (theta)= -3 cos A, where , theta =A.

→→Domain of Cos A

= All Real number

= Period is from (-π , π)

Range of Cos A=[-1, 1]

→Domain of Cos 3 A,will be also, all real number.

Period is from,

$[(-\pi)/(3),(\pi)/(3)]$

But range of Cos 3A,will be same as ,Cos A which is equal to ,[-1,1].

→Plotted the graph of ,y=-cos 3 A, having cycle ,

$[(-\pi)/(3),(\pi)/(3)]$