Deriving equations involving sin and cos

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To derive equation (2) from equation (1), begin by squaring equation (1) and multiplying by (n^2 - sin^2(i)). This approach helps eliminate the square root and simplifies the manipulation of terms. The goal is to isolate n and express it in terms of the other variables. Further steps involve algebraic rearrangements and applying trigonometric identities. This method should lead to the desired equation (2).
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Homework Statement



I'm asked to derive equation(2) from equation(1).

equation(1): d=(tsin(2i))/((n^2-sin(i)^2)^1/2)

equation(2): n=sin(i)(((2tcos(i/d))^2+1)^1/2)


Homework Equations





The Attempt at a Solution



My attempts have got me nowhere, and I don't know how to even start to derive these equations. Any help would be greatly appreciated.
 
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hi thezac11! :smile:

(have a square-root: √ and try using the X2 icon just above the Reply box :wink:)

start by squaring (1), and multiplying it by (n2-sin2(i)) :wink:
 
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