Given the triangle and equation below, what is the value of x?

Right triangle ABC with AB measuring 5 and BC measuring 7.

tan∠A - csc∠C = 3x

Question

Given the triangle and equation below, what is the value of x?
 
Right triangle ABC with AB measuring 5 and BC measuring 7.

tan∠A - csc∠C = 3x

anonymous · Answer

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phi · Answer

First find length AC using pythagorean theorem.  
tan A = opp/adj = 7/5
csc C = 1/sinC  where sin C = 5/hypotenuse (see above, AC)
solve for x

anonymous · Answer

hypotenuse is sqrt of 74, but im so confused can u please solve?

phi · Answer

so what is sin(C) ?  what is 1/sin(C) ?   hint if sin(C)= a/b  1/sin(C)= b/a

anonymous · Answer

what?????????????????????????????? can youy please just give me an answer??? i dont understand,

phi · Answer

anonymous · Answer

omgg....b being what??? and a being what?????