anonymous
  • anonymous
tan∠A - csc∠C = 3x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
How do you solve this?
anonymous
  • anonymous
At some point I got 3x sqrt74/5= 7/sqrt 74
anonymous
  • anonymous
i am confused because you have 3 variables, A, C and x. what are you trying to solve?

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anonymous
  • anonymous
I am solving for this :tan∠A - csc∠C = 3x
anonymous
  • anonymous
here are the variables
anonymous
  • anonymous
tangent A= 7/sqrt 74 and csc C= sqrt74/5
anonymous
  • anonymous
Hello?
anonymous
  • anonymous
idk what you are saying
anonymous
  • anonymous
Its tangent a subtracted from cosecant C and those are the values of them
anonymous
  • anonymous
What the bannana are you talking about?
anonymous
  • anonymous
haha
shadowfiend
  • shadowfiend
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?
shadowfiend
  • shadowfiend
jonh—please be respectful.
anonymous
  • anonymous
Yes that is right
shadowfiend
  • shadowfiend
Ok, so you really have: \[\frac{7}{\sqrt{74}} - \frac{\sqrt{74}}{5} = 3x\]
anonymous
  • anonymous
Yes exactly
shadowfiend
  • shadowfiend
First things first, I would do the subtraction on the left. Do you know how to do that?
anonymous
  • anonymous
do you subtract the square?
anonymous
  • anonymous
So, 3x = -39/(5*SQRT(74)) => x = -13/(5*SQRT(74))
anonymous
  • anonymous
did you use the values GT?
anonymous
  • anonymous
I am kind of shaky on how to subtract with squares shadowfield
anonymous
  • anonymous
|dw:1326987711543:dw|
anonymous
  • anonymous
|dw:1326987783481:dw|
shadowfiend
  • shadowfiend
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 :)
anonymous
  • anonymous
is that the simplified answer? Because I don't see it on my answer choices?
anonymous
  • anonymous
|dw:1326988065164:dw|
anonymous
  • anonymous
There are other ways to write it. What are the choices?
anonymous
  • anonymous
74/15 , 7-5sqrt 74/5, 7-sqrt74/15 or 74/21
anonymous
  • anonymous
Then, the ratios you gave for tan and csc must be wrong. Where did you get those from?
anonymous
  • anonymous
|dw:1326988372290:dw|
anonymous
  • anonymous
I first had to find the missing side then use the ratios
anonymous
  • anonymous
What is A and B and C?
anonymous
  • anonymous
Well, before I say that I found C by using the pythagorean therom and got sqrt 74?
anonymous
  • anonymous
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.
anonymous
  • anonymous
Ok wait... let me post the letters
anonymous
  • anonymous
|dw:1326988584560:dw|
anonymous
  • anonymous
Sorry for the messiness lol
anonymous
  • anonymous
Good. Now, we can do it right. Tan A = BC/AB (opposite / adjacent) = 7/5 Csc C = AC/AB (hypotenuse / opposite) = SQRT(74)/5
anonymous
  • anonymous
Now subtract and you will get the right answer.
anonymous
  • anonymous
|dw:1326988606286:dw|
anonymous
  • anonymous
That is equal to 3x. Now, x will be equal to 1/3 of that value.
anonymous
  • anonymous
|dw:1326988707325:dw|
anonymous
  • anonymous
So you multiplied both sides by 5?
anonymous
  • anonymous
WOOHOOO!! Thank you so much I got a 100!
anonymous
  • anonymous
Thanks everyone
anonymous
  • anonymous
Great. Hope you also now can solve such problems with ease!
anonymous
  • anonymous
I do to lol!

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