Can you name the Complex Math Problems? by northknights

Can you name the Complex Math Problems?

created by northknights

Enter a Enter a number in the box below
Correctly named numbers will show up below
Answers MUST be guessed in order
These are Algebraic math problems. that if you passed high school should be able to solve.
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Problems	Numbers	Just in Case
log(100)?		Simplify
2log(10)?		Simplify
log(1)/log(x)?		Simplify
cos(π/2)?		Simplify
7744^(1/x) = 88?		Solve
arcsin(-(2^(1/2))/2)?		In degrees
cos(arccos(234.437))?		Simplify
cot(90)?		Simplify

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Complex Math Problems Quiz

by northknights

Created Jan 28, 2011 in Miscellaneous
Game Plays 95

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	dragon86:	Jan 28th, 2011 at 17:48 GMT	0 points
	Where are the problems?

	James_Murton:	Jan 28th, 2011 at 18:19 GMT	1 point
	I passed high school and I can't solve these, but mostly due to my school's controversial refusal to teach telepathy.

	northknights:	Jan 28th, 2011 at 19:34 GMT	1 point
	Sorry. I just fixed it.

	zifyoip:	Apr 2nd, 2011 at 05:20 GMT	0 points
	You need more than high school math to handle cos(arccos(234.437)). In the real numbers, a cosine is always between −1 and 1, so arccos(234.437) doesn't exist, and it is impossible to get a result like 234.437 from the cosine function. In order to extend the domain of arccosine to include 234.437, you have to define trigonometric and inverse trigonometric functions over the complex numbers. If you do this, then arccos(234.437) is about 6.15i (where i is the imaginary unit), and indeed cos(arccos(234.437)) will be 234.437. But unless you've studied complex analysis, the expression cos(arccos(234.437)) is meaningless.

	northknights:	Apr 25th, 2011 at 14:16 GMT	-1 points
	actually, because the arccos is defined as literally the inverse cos the two would just cancel out, so if you are any good at high school you could use logical reasoning and figure it out, and maybe it was on purpose so quiz takers couldn't just plug each one into a calculator and get an answer...

	zifyoip:	Apr 28th, 2011 at 15:25 GMT	1 point
	Yes, the arccosine is defined as the inverse of cosine, but it's only defined on the range of the cosine function. It is similarly meaningless to state that cos(arccos(Kentucky))=Kentucky, because arccos(Kentucky) just doesn't make sense; Kentucky is not in the domain of the arccos function.