cos^{-1}(-cos(x))

[ahorn]

Hello

I would like to know what \(\displaystyle \cos^{-1}(-\cos(x))\) is. This is part of the question I am working on where \(\displaystyle +-2x=\cos^{-1}(-\cos(x))\) and the answer is pi/3 or 5pi/3.

Sect. 4.3 q31.c)

 

[pka]

I would like to know what \(\displaystyle \cos^{-1}(-\cos(x))\) is. This is part of the question I am working on where \(\displaystyle +-2x=\cos^{-1}(-\cos(x))\) and the answer is pi/3 or 5pi/3.

Have a look at the graph.

Realize that \(\displaystyle \arccos(0)=\pi\)

 

[Deleted member 4993]

Hello

I would like to know what \(\displaystyle \cos^{-1}(-\cos(x))\) is. This is part of the question I am working on where \(\displaystyle +-2x=\cos^{-1}(-\cos(x))\) and the answer is pi/3 or 5pi/3.

Sect. 4.3 q31.c)

Hint:

-cosx(x) = cos(π - x)