SOLUTION: Find the exact value of cos^-1{{{(cos(4PI/3))}}} the possible answers are a. -PI/3 b. PI/3 c. 2PI/3 d. 4PI/3 Thank you

Question 73942This question is from textbook Algebra and Trigonomerty
: Find the exact value of cos^-1
the possible answers are
a. -PI/3
b. PI/3
c. 2PI/3
d. 4PI/3
Thank you This question is from textbook Algebra and Trigonomerty

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The inverse cosine looks like this:

This function literally undoes the cosine function. If I plug in

degrees into

I get a value of 1/2 (ie

If I take the inverse cosine of 1/2 I get 60. However, since the range of inverse cosine is [0,

], we need to find a co-angle that is in the interval [0,

] (in other words we need to reduce

. So lets subtract from

from

Note: if we evaluated

we would get

RELATED QUESTIONS
Find the exact value of cos^-1(cos(4pi/3)). (answered by stanbon)

Which 2 angles are co-terminal with {{{ (-4pi)/(3) }}} radians? a. {{{ (2pi)/(3) }}},... (answered by Alan3354)

Find the exact solutions of the given equation in the interval [0,2pi). cos2x+3cosx+2=0 (answered by ewatrrr)

Trigonometry-basics/73819 (2007-03-08 13:33:50): I am studying DeMoivre's Theorum in... (answered by stanbon)

Find the exact value of Sin(Tan-1 7/24) Cos-1(Cos 4Pi/3) (answered by jsmallt9)

determine the period of the function y= 2cos 3x and select the correct option a. pi/3 (answered by stanbon)

Let t be a real number with cos(t)=3/7, 3pi/2 (answered by stanbon)
Let t be a real number with cos(t)=3/7, 3pi/2 < t < 2pi Find the exact value for each... (answered by Edwin McCravy)
Let (t) be a real number with {{{ cos t = 3/7 }}} {{{3pi/2< t < 2pi }}}. Find the... (answered by lwsshak3)