For the function y=-1+6cos(2pi/7(x-5)) what is the minimum value?

Question

asked Feb 14, 2018 144k views

2 Answers

Darkfeline · Answer 1 · 2018-02-19T06:00:10+0000

Answer:

The minimum value of y is -7

Explanation:

Given:
$y=-1+6\cos((2\pi)/(7)(x-5))$

We are given a cosine function.

We need to find minimum value of function.

$y=-1+6\cos((2\pi)/(7)(x-5))$

Here y is depends on cosine function.

y is minimum when cosine is minimum because y is directly proportional to cosine function.

Minimum value of cos x is -1

Therefore, For minium value of y

$\cos((2\pi)/(7)(x-5))=-1$

Minimum value of y

y=-1+6(-1)

y=-7

Hence, The minimum value of y is -7