Question

What is the minimum y value on the graph of y = sinx - 6?

-7
-5
5
7

Answer 1

The correct answer option is -7.

We are asked to determine the minimum value of y on the graph of . where 'k' is any integer.

So, (it is the absolute minimum value)and = -7 (absolute minimum y value)

Answer 2

The correct answer option is -7.

Explanation:

We are asked to determine the minimum value of y on the graph of
`y = sin x - 6`.

`y' = cos(x) = 0`

`x = arccos(0) = \pm(\pi )/(2) +2k\pi` where 'k' is any integer.

So,
`y = sin ( \frac { \pi} { 2 } ) - 6 = 1 - 6 = -5` (it is the absolute minimum value)

and
`y=sin((-\pi)/(2)+2\pi )-6 = sin((3\pi)/(2))-6` = -7 (absolute minimum y value)