tan∠A - csc∠C = 3x

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tan∠A - csc∠C = 3x

Mathematics
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How do you solve this?
At some point I got 3x sqrt74/5= 7/sqrt 74
i am confused because you have 3 variables, A, C and x. what are you trying to solve?

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I am solving for this :tan∠A - csc∠C = 3x
here are the variables
tangent A= 7/sqrt 74 and csc C= sqrt74/5
Hello?
idk what you are saying
Its tangent a subtracted from cosecant C and those are the values of them
What the bannana are you talking about?
haha
Wait, I'm confused. So you have: \[\tan A - \csc C = 3x\] And: \begin{align} \tan A &= \frac{7}{\sqrt{74}}\\ \csc C &= \frac{\sqrt{74}}{5} \end{align} Right?
jonh—please be respectful.
Yes that is right
Ok, so you really have: \[\frac{7}{\sqrt{74}} - \frac{\sqrt{74}}{5} = 3x\]
Yes exactly
First things first, I would do the subtraction on the left. Do you know how to do that?
do you subtract the square?
So, 3x = -39/(5*SQRT(74)) => x = -13/(5*SQRT(74))
did you use the values GT?
I am kind of shaky on how to subtract with squares shadowfield
|dw:1326987711543:dw|
|dw:1326987783481:dw|
You can make the denominators the same by multiplying each fraction by the other fraction's denominator: \[\] \begin{align} \frac{7}{\sqrt{74}} &- \frac{\sqrt{74}}{5}\\ \frac{5}{5}\frac{7}{\sqrt{74}} &- \frac{\sqrt{74}}{\sqrt{74}}\frac{\sqrt{74}}{5}\\ \frac{35}{5\sqrt{74}} &- \frac{74}{5\sqrt{74}}\\ \end{align} So you get: \[\frac{35 - 74}{5\sqrt{74}}\] GT has the rest of the work :)
is that the simplified answer? Because I don't see it on my answer choices?
|dw:1326988065164:dw|
There are other ways to write it. What are the choices?
74/15 , 7-5sqrt 74/5, 7-sqrt74/15 or 74/21
Then, the ratios you gave for tan and csc must be wrong. Where did you get those from?
|dw:1326988372290:dw|
I first had to find the missing side then use the ratios
What is A and B and C?
Well, before I say that I found C by using the pythagorean therom and got sqrt 74?
I understand and that is right. BTW - from the picture, I can already tell your Tan(a) is wrong. There is no hypotenuse involved in the tangent ratio.
Ok wait... let me post the letters
|dw:1326988584560:dw|
Sorry for the messiness lol
Good. Now, we can do it right. Tan A = BC/AB (opposite / adjacent) = 7/5 Csc C = AC/AB (hypotenuse / opposite) = SQRT(74)/5
Now subtract and you will get the right answer.
|dw:1326988606286:dw|
That is equal to 3x. Now, x will be equal to 1/3 of that value.
|dw:1326988707325:dw|
So you multiplied both sides by 5?
WOOHOOO!! Thank you so much I got a 100!
Thanks everyone
Great. Hope you also now can solve such problems with ease!
I do to lol!

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