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NY,NY
 one year ago
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.
NY,NY
 one year ago
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.

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geerky42
 one year ago
Best ResponseYou've already chosen the best response.3Try to isolate tan C.

NY,NY
 one year ago
Best ResponseYou've already chosen the best response.0uh, add 3 to the other side?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.3Yeah you can do that. Just treat \(\tan C\) like \(x\)

geerky42
 one year ago
Best ResponseYou've already chosen the best response.3\[2\tan C = 3\tan C  1\] Now what?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.3Maybe subtract both sides by \(3\tan C?\)

NY,NY
 one year ago
Best ResponseYou've already chosen the best response.0so, 2tanC  3tanC = 1 ?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.3Yeah. Now combine like terms.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.3Yep. What's the next step?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.3How to get rid of negative sign?

NY,NY
 one year ago
Best ResponseYou've already chosen the best response.0divide by 1 tanC = 1 sooo tan^1 (1) = 45

geerky42
 one year ago
Best ResponseYou've already chosen the best response.3Yeah 45 degree is one of answers. Maybe use unit circle?

NY,NY
 one year ago
Best ResponseYou've already chosen the best response.0I 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
 one year ago
Best ResponseYou've already chosen the best response.3yeah this is good way to do it.

NY,NY
 one year ago
Best ResponseYou've already chosen the best response.0I got {45 degrees, 225 degrees}. :)

geerky42
 one year ago
Best ResponseYou've already chosen the best response.3dw:1433288786161:dw
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