How would I solve for Length? simple math equation involving sin/cosine?

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SUMMARY

The discussion revolves around solving for the variable L in the equation involving sine and cosine: sintheta = L/sqrt(x^2 + L^2). The user attempts to derive L using both the sine and cosine equations, recognizing that they represent the same triangle with a 90-degree angle between the x and y axes. The proposed solution involves manipulating the equation to isolate L, suggesting squaring both sides and rearranging terms to express L in terms of x and theta.

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Homework Statement

How would I solve for L in this expression:

sintheta=L/sq.rt(x^2+L^2) ?



Homework Equations


sintheta=L/sq.rt(x^2+L^2) ?




The Attempt at a Solution


and if they have the same angle between them would solving for L create an equal answer using:
costheta=L/sq.rt(x^2+L^2)
??

given there is a 90 degree angle between the y and x axis, but the angle is unknown, but these two equations involve the same triangle.

Solving I received sq.rt((-x^2+(costheta/x))^2)=L but i think its wrong
 
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Try squaring both sides, rearranging a bit and then factoring out L. You'll have an answer in terms of x and \theta
 

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