- #1
1MileCrash
- 1,342
- 41
Homework Statement
y = ln | sin x |
Homework Equations
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The Attempt at a Solution
No attempt at a solution, because it's more of a "which part of this is incorrect" question.
y = ln | sin x |
Would everyone agree that this is equivalent?
[itex]y = ln \sqrt{(sin x^2)}[/itex]
Then by properties of logarithms:
[itex]y = \frac{1}{2}ln (sin x^2)[/itex]
And again,
[itex]y = \frac{2}{2}ln sin x[/itex]
or
[itex]y = ln sin x[/itex]
So then, ln|sin x| is equivalent to ln sin x?
Is this true? If so, is it just essentially a visual demonstration of the domain of the logarithm function?
(note that I'm having trouble placing the 2 power on "sin" but I'm sure you all know what I mean, (sin x)^2)