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

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Question 1196146: Find the exact of sin^-¹(1/8) + cos^-¹(1/8)
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
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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) = pi%2F2


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) = pi%2F2.    ANSWER

Solved and thoroughly explained.