David98678
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- Feb 13, 2019
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In my book it says cos^2 not x^2 to avoid confusion. If someone could explain how they solve it i would appreciate it.
I do not understand why you would write cosx2 and then say it really is cos2x. Very strange.In my book it says cos^2 not x^2 to avoid confusion. If someone could explain how they solve it i would appreciate it.
The notation \(\displaystyle \cos\) stands for the cosine function therefore we should use function notation.In my book it says cos^2 not x^2 to avoid confusion. If someone could explain how they solve it i would appreciate it.
In my book it says cos^2 not x^2 to avoid confusion. If someone could explain how they solve it i would appreciate it.
Okay, I give up! I know what \(\displaystyle \cos^2(x)\) means and what \(\displaystyle cos(x^2)\) means. But what in the world is \(\displaystyle cos(x)^2\) if it is not a sloppy way of writing one of the others?The notation \(\displaystyle \cos\) stands for the cosine function therefore we should use function notation.
That is use parentheses, \(\displaystyle \large\cos(x)\). Even though historically the notation \(\displaystyle \cos x\) was used, in practice we have move away from that.
If we have a function \(\displaystyle f(x)\) you surely know that there is a difference in \(\displaystyle f(x^2)~\&~f(x)^2\).
So that \(\displaystyle \cos^2(x)=\cos(x)^2\) BUT \(\displaystyle \cos^2(x)\ne\cos(x^2)\ne\cos(x)^2\).
If you still have confusion on this notation please post your questions.
Come on Prof Halls, \(\displaystyle \cos(x^2)\) is the cosine of the square of x , in the same way any function \(\displaystyle f(x^2)\) means \(\displaystyle f\) evaluated for \(\displaystyle x^2\).Okay, I give up! I know what \(\displaystyle \cos^2(x)\) means and what \(\displaystyle cos(x^2)\) means. But what in the world is \(\displaystyle cos(x)^2\) if it is not a sloppy way of writing one of the others?
cos(x) is a number… what in the world is \(\displaystyle cos(x)^2\) …
So we can't calculate sin(cos(x))???cos(x) is a number
cos(x)2 is the number cos(x) being squared
cos(x)2 is the number cos(x) being squared
It's not ambiguous, for folks who understand function notation. Is your position that it shouldn't be used because you think a majority of people do not understand function notation? :cool:… it has ambiguous style. It should not be used …
I don't understand your statement (followed by question marks). Do you have a value for x?So we can't calculate sin(cos(x))???
No, I claim it is not consistent function notation for the exponentiationIt's not ambiguous, for folks who understand function notation. Is your position that it shouldn't be used because you think a majority of people do not understand function notation? :cool:
The former is poor form if it is intended to be equivalent for the square of the cosine of x, because it has ambiguous style. It should not be used.
Extra grouping symbols should be used for it instead, such as:
\(\displaystyle [cos(x)]^2\)