SOLUTION: Evaluate sin(cos^-1(1/2)+cos^-1(1/3)) (cos^-1 = cos inverse)

Question 1200010: Evaluate sin(cos^-1(1/2)+cos^-1(1/3))
(cos^-1 = cos inverse)
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
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Evaluate sin(cos^-1(1/2)+cos^-1(1/3)).
~~~~~~~~~~~~~~~~~~~~

Let a = cos^-1(1/2),  b = cos^-1(1/3)  be the angles, in radians.


Then sin(a) =  = ,

     sin(b) =  = .


The problem asks then about sin(a+b).  It is


    sin(cos^-1(1/2)+cos^-1(1/3)) = sin(a)*cos(b) + cos(a)*sin(b) =  +  = 

                                 =  +  =  = 0.76008  (rounded).    ANSWER

Solved.

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