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Solve for x: tan(acos(3/x))

 Jan 14, 2019
 #1
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There isn't anything to  solve.....we just want to evaluate this :   tan (acos(3/x))

 

Let acos(3/x) = theta

 

So.....theta is an angle whose cosine = 3 / x

 

So.... using the  Pythagorean Theorem......y =  sqrt (x^2 - 3^2) = sqrt (x^2 - 9)

 

So..... tan (acos(3/x)) =  tan (theta)  =  y / x    =   sqrt (x^2 - 9) / 3

 

 

cool cool cool

 Jan 14, 2019

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