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Trigonometry 18 Online
OpenStudy (solomonzelman):

Is there any way to do Cosi without calculator?

OpenStudy (anonymous):

Yes. It depends on the specific question whether or not you can do it without a calculator

OpenStudy (anonymous):

You can use a protactor.

OpenStudy (anonymous):

So I guess the answer is "sometimes".

OpenStudy (solomonzelman):

lets say it is just Cosi

OpenStudy (anonymous):

Cos of what? I can do cos(45 degrees) without a calculator, but not cos (46) or cos(47)

OpenStudy (solomonzelman):

Cos of i

OpenStudy (solomonzelman):

Do you know what imaginary number is?

OpenStudy (anonymous):

oh, ok. cos(i) is undefined. I have never hears of anyone finding the cos of an imaginary number. It makes no sense geometrically.

OpenStudy (solomonzelman):

Why? Can you explain why is it undefined?

OpenStudy (anonymous):

Cos is a function that is applied to angles. If youre finding the cos of i, there would theoretically need to be an angle of size i. There is no angle in 2-dimensional space whose measure is the square root of -1. i is the square root of -1. How would you draw an angle of size i? You can't.

OpenStudy (solomonzelman):

Oh, K! I think I get that!

OpenStudy (solomonzelman):

What about log of i

OpenStudy (solomonzelman):

log base 10, of course

OpenStudy (anonymous):

log(i) is the number we need to raise 10 by to get i. There is no number that we can raise 10 to and get i. In fact, 10^x is a positive real number for every possible number we can plug in for x.

OpenStudy (solomonzelman):

TNX!

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