Question 452095
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We're not going to do your whole homework assignment for you.  One question per post.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{2\sin30^{\circ}}{3\cos45^\circ}]


Look at the Unit Circle:


<img src="http://www.math.ucsd.edu/~jarmel/math4c/Unit_Circle_Angles.png">


Cosine is the x coordinate and Sine is the y coordinate, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{2\sin30^{\circ}}{3\cos45^\circ}\ =\ \frac{2\,\cdot\,\frac{1}{2}}{3\,\cdot\,\frac{sqrt{2}}{2}}]


Now all you have to do is simplify.  Don't forget to rationalize your denomiator.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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