SOLUTION: Find the value of the following expression: sec(tan^-1(5/12))

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Question 1138380: Find the value of the following expression: sec(tan^-1(5/12))
Found 2 solutions by KMST, ikleyn:
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Thereis an infinite number of sets of three integers that can be the length of the sides of a right triangle.
Such sets of integers are called Pythagorean triples, and you can find lists of them by searching online for "Pythagorean triples".
Teachers like to use them in problems.
{3,4,5} is the most popular (and easiest to remember),
but is also a popular one.
Here is a right triangle with such shape:
, so , and ,
so
Answer by ikleyn(52909)   (Show Source): You can put this solution on YOUR website!
.
They want you find  sec(x)  given that  tan(x) = .


It means that the opposite leg  "a"  is 5, while the adjacent leg  "b"  is 12.


Then the hypotenuse is  c =  =  =  =  = 13


and  cos(x) =  = .


Hence,  sec(x) =  =  = .    ANSWER

Solved.

It is your standard "mantra" in solving such problems.


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Do not accept any different answer,  since it  is / (or would be)  incorrect.


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Dear tutor @KMST, I am glad to see you returned back to this forum after long absence !




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