NY,NY
  • NY,NY
help :( Solve the equation 2 tan C - 3 = 3 tan C - 4 algebraically for all values of C in the interval 0 degrees less than or equal to C < 360degrees.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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NY,NY
  • NY,NY
@Hero
NY,NY
  • NY,NY
@Preetha
geerky42
  • geerky42
Try to isolate tan C.

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NY,NY
  • NY,NY
uh, add 3 to the other side?
geerky42
  • geerky42
Yeah you can do that. Just treat \(\tan C\) like \(x\)
geerky42
  • geerky42
\[2\tan C = 3\tan C - 1\] Now what?
geerky42
  • geerky42
Maybe subtract both sides by \(3\tan C?\)
NY,NY
  • NY,NY
so, 2tanC - 3tanC = -1 ?
geerky42
  • geerky42
Yeah. Now combine like terms.
NY,NY
  • NY,NY
-1tanC = -1 ?
geerky42
  • geerky42
Yep. What's the next step?
geerky42
  • geerky42
How to get rid of negative sign?
NY,NY
  • NY,NY
divide by -1 tanC = 1 sooo tan^-1 (1) = 45
geerky42
  • geerky42
Yeah 45 degree is one of answers. Maybe use unit circle?
NY,NY
  • NY,NY
I think i know how to do it now. Tangent is positive in quadrants 1 and 3, so i find the reference angle in those quadrants, right? and then check if they fit the interval?
geerky42
  • geerky42
yeah this is good way to do it.
NY,NY
  • NY,NY
thank you VERY much :)
geerky42
  • geerky42
No problem :0
geerky42
  • geerky42
:)*
NY,NY
  • NY,NY
I got {45 degrees, 225 degrees}. :)
geerky42
  • geerky42
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