Question

Find the range of y= 3/2 cos 4x-1

Answer 1

I have attached how to work through this problem. I hope this helps

Answer 2

The range of y is
`[-(5)/(2),(1)/(2)]`

Explanation:

Given:
`y=(3)/(2)\cos (4x) -1`

It is cosine function of trigonometry.

We need to find the range of given function. The value of y shows range of function.

y is depends on cosine function.

As we know cosine max/min value is fixed.

y is max when cosine max.

y is min when cosine is min.

Maximum value of cosine = 1

`y_(max)=(3)/(2)(1) -1=(1)/(2)`

Minimum value of cosine = -1

`y_(min)=(3)/(2)(-1) -1=-(5)/(2)`

Range of y: [min,max]

Range:
`[-(5)/(2),(1)/(2)]`

Hence, The range of y is
`[-(5)/(2),(1)/(2)]`