Solve cox X= square root 3/2 where 0 less than or equal to X less than an equal to pi2. c) Determine the related angle for the equation? D) determine all the solutions for the equation?

1 Answer
Dec 19, 2017

#x=pi/6" or "x=(11pi)/6#

Explanation:

#cosx =sqrt3/2#

#rArrx=cos^-1(sqrt3/2)=pi/6larrcolor(blue)"related acute angle"#

#"since "cosx>0" then x is in first/fourth quadrants"#

#rArrx=pi/6larrcolor(blue)"first quadrant"#

#rArrx=(2pi-pi/6)=(11pi)/6larrcolor(blue)"fourth quadrant"#

#x=pi/6" or "x=(11pi)/6to[0,2pi]#