Question

What is the value of x in x = inverse of sine (negative one-half)?

Negative StartFraction 2 pi Over 3 EndFraction
Negative StartFraction pi Over 6 EndFraction
StartFraction 2 pi Over 3 EndFraction
StartFraction 7 pi Over 6 EndFraction

Answer 1

Answer:

-pi over 6 or B.

Step-by-step explanation:

I plugged it into desmos and this is what I got

Answer 2

Using the inverse of the sine function, it is found that the value of x is:

$x = -\frac{\pi}{6}$

What is the inverse sine function?

It is the function described by:

$y = \arcsin{x}$

And means that sine of y is equals to x, that is:

$x = \sin{y}$

In this problem, the function is:

$x = \arcsin{-\frac{1}{2}}$

Which means that we have to solve for x, considering that the sine of x is of -1/2. Hence:

$\sin{x} = -\frac{1}{2}$

$x = -\frac{\pi}{6}$

Hence, the value of x is given by:

$x = -\frac{\pi}{6}$

More can be learned about inverse trigonometric functions at https://brainly.com/question/1143565