Question 762218
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin^2(t)\ -\ \cos^2(t)\ =\ 0]


Substitute from the Pythagorean Identity:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  1\ -\ \cos^2(t)\ -\ \cos^2(t)\ =\ 0]


Simplify


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  \cos^2(t)\ =\ \frac{1}{2}]


Take the root


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  \cos(t)\ =\ \pm\frac{\sqrt{2}}{2}]


Then all you have to do is find the four angles in *[tex \LARGE \left\[0,2\pi\right\]]  where the cosine of the angle is either *[tex \LARGE \pm\frac{\sqrt{2}}{2}].


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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