Question

Find the period, range, and amplitude of the cosine function.y = –3 cos 4x

Answer 1

Given

`y=-3cos4x`

Find

Period, range and amplitude of the cosine function

Step-by-step explanation

For the given case, A = -3 , B = 4 , C = 0, D = 0

the amplitude is the absolute value of A ,

`\lvert{-3}\rvert=3`

The period is

`(2\Pi)/(B)=(2\Pi)/(4)=(\Pi)/(2)`

Range is

`-3\leq x\leq3`

Final Answer

Amplitude is 3

Period is

`(\Pi)/(2)`

Range

`-3\leq x\leq3`