Given the triangle and equation below, what is the value of x?
tan∠A - csc∠C = 3x

Question

Given the triangle and equation below, what is the value of x?
tan∠A - csc∠C = 3x

anonymous · Answer

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anonymous · Answer

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mathstudent55 · Answer

Quick review:
tanA = opp/adj
cscC = 1/sinC
sinC = opp/hyp
hyp = c; c^2 = a^2 + b^2

jdoe0001 · Answer

@woodardman  as suggested by mathstudent55 , find the missing leg/side
once that's found, use the trig identities as suggested with the proper values

anonymous · Answer

So the answers sqroot74/ 21?

jdoe0001 · Answer

well, what did you get for the missing leg/side?

anonymous · Answer

Wait what did you get/?

jdoe0001 · Answer

I got a number :P

jdoe0001 · Answer

which I hope yours is the same, unless of course you're just "picking off" choices

anonymous · Answer

What do youmean?Its there are no chices tochoose from

jdoe0001 · Answer

one sec, lemme recheck mine

jdoe0001 · Answer

so tan(a) will be 7/5
csc(c) will be $\sqrt{74}$ / 5

jdoe0001 · Answer

then you'd just solve for "x" from 
$$
\cfrac{7}{5}-\cfrac{\sqrt{74}}{5}=3x
$$

jdoe0001 · Answer

is not what you have thus far though

anonymous · Answer

Yea :D Exactly