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

AI Thread Summary
To solve for L in the equation sintheta = L/sqrt(x^2 + L^2), one can manipulate the equation by squaring both sides and rearranging terms. The relationship between sine and cosine suggests that if the angle is the same, a similar approach can be applied using costheta = L/sqrt(x^2 + L^2). The discussion emphasizes that both equations represent the same triangle, which can aid in finding L. A proposed method involves squaring the equation, rearranging, and factoring out L to express it in terms of x and theta. This approach aims to clarify the relationship and derive a solution for L effectively.
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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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