SOLUTION: Sin^-1 sqrt2/2 + Cos^-1 X= 2pi/3 Problems with evaluating inverse trig functions
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Question 330487
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Sin^-1 sqrt2/2 + Cos^-1 X= 2pi/3
Problems with evaluating inverse trig functions
Answer by
Alan3354(69443)
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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