Posted by **George** on Friday, July 15, 2011 at 2:36am.

cos(x)=2

and

sin(x)=5

Thanks for your previous answers mathmate. No. It's not a typo. I was wondering if someone could explain to me when in real life would I need to solve such problems, or similar, besides answering problems from a textbook. When ever I ask this question I never get a direct answer. Yes, trying to think of a real life example in which I would need to solve these type of problems does make my head hurt. I guess it could be some type of angle, but an angle for what? Yes there's no real solution but there are an infinite amount of solutions. I lost the paper I solved sin(x)=5 on but

If cos(x)=2

then

x = pi - i ln(2-sqrt(3)) + 2*pi*n

or

x = pi - i ln(2+sqrt(3)) + 2*pi*n

were

n is the set of integers

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