anonymous
  • anonymous
what does -1/2(tan(x) limit -pi/3to pi/3 equal to
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
i am having trouble understanding your statement. Can you state the problem as a sentence?
anonymous
  • 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
anonymous
  • anonymous
is this calculus?

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anonymous
  • anonymous
yes
anonymous
  • anonymous
\[\lim_{x\rightarrow -\frac{\pi}{3}}\frac{1}{2}\tan x\]
anonymous
  • anonymous
is that the question?
anonymous
  • 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
anonymous
  • anonymous
okay
anonymous
  • anonymous
you should state your question more clearly
anonymous
  • anonymous
\[\frac{\sqrt{3}}{2}\]
anonymous
  • anonymous
how did u get a positive number
anonymous
  • anonymous
was the definite integral \[\int^{\frac{\pi}{3}}_{-\frac{\pi}{3}}\frac{1}{2} \sec^2 x dx\]
anonymous
  • anonymous
at any rate \[\frac{1}{2}\left\{\tan(\frac{\pi}{3})-\tan(-\frac{\pi}{3})\right\}\]
anonymous
  • anonymous
\[=\frac{1}{2}\left\{\frac{\sqrt{3}}{2}-(-\frac{\sqrt{3}}{2})\right\}\]
anonymous
  • anonymous
\[=\frac{1}{2}\frac{\sqrt{3}}{4}\]
anonymous
  • anonymous
sorry that was wrong
anonymous
  • anonymous
latex error
anonymous
  • anonymous
\[\frac{1}{2} 2\sqrt{3}\]
anonymous
  • anonymous
did it again
anonymous
  • anonymous
so -pi/3= sqrt3/2
anonymous
  • anonymous
no
anonymous
  • anonymous
i mean tan of that angle
anonymous
  • anonymous
but \[\tan(-\frac{\pi}{3})=-\frac{\sqrt{3}}{2}\]
anonymous
  • anonymous
got ya, but no
anonymous
  • anonymous
man
anonymous
  • anonymous
tangent is negative in the fourth quadrant
anonymous
  • anonymous
look at the tangent graph or the unit circle to comfirm
anonymous
  • anonymous
k ty

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