SOLUTION: Find the exact of sin^-¹(1/8) + cos^-¹(1/8)

Question 1196146: Find the exact of sin^-¹(1/8) + cos^-¹(1/8)

Answer by ikleyn(52915)   (Show Source): You can put this solution on YOUR website!
.

I will read the problem in this way

            Find the exact value of   arcsin(1/8) + arccos(1/8).

                        Solution

Use the fact that for any real value of x in the interval [0,1]

    arcsin(x) + arccos(x) = 


Which is clear from consideration of a right angled triangle with the hypotenuse of 1 and one leg of x.


In particular, for x = 1/8 we have 

    arcsin(1/8) + arccos(1/8) = .    ANSWER

Solved and thoroughly explained.

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