Mathematics
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OpenStudy (anonymous):
what does -1/2(tan(x) limit -pi/3to pi/3 equal to
15 years ago
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OpenStudy (anonymous):
i am having trouble understanding your statement. Can you state the problem as a sentence?
15 years ago
OpenStudy (anonymous):
the problem is 1/2 (tan x) the limit is -pi/3 to pi/3 (you have to plug these values into x) i didn't get the right answer, i want to c what the problem is
15 years ago
OpenStudy (anonymous):
is this calculus?
15 years ago
OpenStudy (anonymous):
yes
15 years ago
OpenStudy (anonymous):
\[\lim_{x\rightarrow -\frac{\pi}{3}}\frac{1}{2}\tan x\]
15 years ago
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OpenStudy (anonymous):
is that the question?
15 years ago
OpenStudy (anonymous):
no i found the integral of the problem which came out to be (1/2tanx) the limit is -pi/3 to pi/3. could u plug it in and tell me what u get
15 years ago
OpenStudy (anonymous):
okay
15 years ago
OpenStudy (anonymous):
you should state your question more clearly
15 years ago
OpenStudy (anonymous):
\[\frac{\sqrt{3}}{2}\]
15 years ago
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OpenStudy (anonymous):
how did u get a positive number
15 years ago
OpenStudy (anonymous):
was the definite integral \[\int^{\frac{\pi}{3}}_{-\frac{\pi}{3}}\frac{1}{2} \sec^2 x dx\]
15 years ago
OpenStudy (anonymous):
at any rate \[\frac{1}{2}\left\{\tan(\frac{\pi}{3})-\tan(-\frac{\pi}{3})\right\}\]
15 years ago
OpenStudy (anonymous):
\[=\frac{1}{2}\left\{\frac{\sqrt{3}}{2}-(-\frac{\sqrt{3}}{2})\right\}\]
15 years ago
OpenStudy (anonymous):
\[=\frac{1}{2}\frac{\sqrt{3}}{4}\]
15 years ago
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OpenStudy (anonymous):
sorry that was wrong
15 years ago
OpenStudy (anonymous):
latex error
15 years ago
OpenStudy (anonymous):
\[\frac{1}{2} 2\sqrt{3}\]
15 years ago
OpenStudy (anonymous):
did it again
15 years ago
OpenStudy (anonymous):
so -pi/3= sqrt3/2
15 years ago
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OpenStudy (anonymous):
no
15 years ago
OpenStudy (anonymous):
i mean tan of that angle
15 years ago
OpenStudy (anonymous):
but \[\tan(-\frac{\pi}{3})=-\frac{\sqrt{3}}{2}\]
15 years ago
OpenStudy (anonymous):
got ya, but no
15 years ago
OpenStudy (anonymous):
man
15 years ago
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OpenStudy (anonymous):
tangent is negative in the fourth quadrant
15 years ago
OpenStudy (anonymous):
look at the tangent graph or the unit circle to comfirm
15 years ago
OpenStudy (anonymous):
k ty
15 years ago