dolphinandwhale dolphinandwhale
  • 03-02-2020
  • Mathematics
contestada

What is the exact value of arccos(−2√2) ?



Enter your answer, in terms of π , in the box.

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 10-02-2020

Answer:

See explanation

Step-by-step explanation:

The range of the cosine function is [tex]-1\le \cos x\le 1[/tex]

Therefore [tex]arc \cos (-2\sqrt{2})[/tex] is not defined.

Assuming your question is rather [tex]arc \cos (-\frac{\sqrt{2}}{2})[/tex]

Then [tex]arc \cos (-\frac{\sqrt{2}}{2})=\pi-arc \cos (\frac{\sqrt{2}}{2})[/tex]  in the second quadrant.

[tex]arc \cos (-\frac{\sqrt{2}}{2})=\pi-\frac{\pi}{4}[/tex]

[tex]arc \cos (-\frac{\sqrt{2}}{2})=\frac{3\pi}{4}[/tex]

Answer Link

Otras preguntas

How many states broke away from the United States to form the Confederacy? A. 11 B. 12 C. 15 D. 18
which of the following is the correct slope intercept form of the equation -4x + 2y equals 14
Tasha went on a trekking expedition to a mountain range during her vacation. When she reached a particular height, it started raining heavily. Which sphere of E
in the figure we have AC is equal to DC, CD is equal to CE then show that AB is equal to DE
What do most of us rely on "external brains" for these days?
The figure is reflected across the dotted line
I’m honestly having the biggest brain fart with this right now, end of the school year brain , someone please help!!
Marcy has $25. Each day she gets $10 more
Please help, I need this work done.
SOMEONE PLEASE HELP!!