SOLUTION: value of an expression. find the exact value of the expression. sec(sin^-1 12/13)

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Question 1165797: value of an expression. find the exact value of the expression.
sec(sin^-1 12/13)

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

cos(sin^-1 12/13) = sqrt%281-%2812%2F13%29%5E2%29 = sqrt%281+-+144%2F169%29 = sqrt%2825%2F169%29 = 5%2F13.    



Therefore,  sec(sin^-1(12/13)) = 1%2Fcos%28sin%5E-1%2812%2F13%29%29 = 13%2F5.   ANSWER