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The question is True or False: Does cos(x+y) = cos(x)+cos(y)? I'm having trouble figuring out how to justify my answer algebraically. Any help would be much appreciated and given a medal :)
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Find a contradicting case to disprove it at least. Still figuring out it myself... :P
if you need help visualizing it, try plugging in numbers. let's say x=30 degrees and y=60 degrees. would cos(90)=cos(30)+cos(60)? That gives you a starting point because you know if you should prove or disprove that statement.
Use the Cosine Angle Sum Formula to justify your choice :)\[\large\rm \cos(A+B)=\cos A \cos B-\sin A \sin B\]Unless that's not what you meant by algebraically :3
\[\cos(44) + \cos(46) \not = \cos(90)\]
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