SOLUTION: Sin^-1 sqrt2/2 + Cos^-1 X= 2pi/3 Problems with evaluating inverse trig functions

Algebra ->  Trigonometry-basics -> SOLUTION: Sin^-1 sqrt2/2 + Cos^-1 X= 2pi/3 Problems with evaluating inverse trig functions      Log On


   



Question 330487: Sin^-1 sqrt2/2 + Cos^-1 X= 2pi/3
Problems with evaluating inverse trig functions

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Sin^-1 sqrt2/2 + Cos^-1 X= 2pi/3
arcsin(sqrt(2)/2) + arccos(x) = 2pi/3
pi/4 + arccos(x) = 2pi/3
arccos(x) = 5pi/12
x = cos(5pi/12) (principal value)
x =~ 0.25882
---------------------------------
arcsin(sqrt(2)/2) + arccos(x) = 2pi/3
3pi/4 + arccos(x) = 2pi/3
arccos(x) = -pi/12
x = cos(-pi/12)
x =~ 0.965926