SOLUTION: If tan(x) + cot(x) = 144/25, what is the numerical value of 1/tan(x) + 1/cot(x)

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Question 1152724: If tan(x) + cot(x) = 144/25, what is the numerical value of 1/tan(x) + 1/cot(x)
Found 2 solutions by jim_thompson5910, ikleyn:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

The answer is 144/25

Why is this? Because

and


So becomes , in which we can rearrange the terms (because we can add two numbers in any order). So turns into which was the original left hand side of the given equation.
Answer by ikleyn(52810)   (Show Source): You can put this solution on YOUR website!
.

To answer the question, recall that   = cot(x)  and   = tan(x).


Therefore,


     +  = cot(x) + tan(x) = ( commutativity of the addition operation ) = tan(x) + cot(x) = (as it is given) = .    ANSWER


Solved (!)

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Actually, it is a joke problem . . .



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