Question

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

Answer 1

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,

         $[\frac{-\pi}{3},\frac{\pi}{3}]$

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 ,

  $[\frac{-\pi}{3},\frac{\pi}{3}]$

Answer 2

The graph of the equation given by y=-cos³θ will be as follows: