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Specific maths question (1 Viewer)

daily302

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What is theta if "2sin-squared-theta=1"? (between 0 and 360). I know that theta is 45 degrees, but what else is it (135? 225?)
 

Foxodi

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2sin^2 x = 1 0<x<360
sin^2 x = 1/2
sin x = +or-1 / root of 2

Positive or Negative, therefore all quadrants

Q1 = 45
Q2 = 135
Q3 = 225
Q4 = 315

Therefore x = 45, 135, 225, 315
 

daily302

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Thankyou very much!! That problem has bugged me for ages!! :)
 

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