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haleyking345
 2 years ago
Solve the equation:
a.) 2 cos^2xcos x=1
haleyking345
 2 years ago
Solve the equation: a.) 2 cos^2xcos x=1

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Marx
 2 years ago
Best ResponseYou've already chosen the best response.0let's define \[t:= \cos(x)\] we have the quadratic equation: \[2t^2t=1\] can you find it's solutions?

haleyking345
 2 years ago
Best ResponseYou've already chosen the best response.0Would it be cos=1? Which means cos=0 degrees or 360 degrees?

Marx
 2 years ago
Best ResponseYou've already chosen the best response.0there are two solutions, \[\cos(x)=1\] and \[\cos(x)=\frac{1}{2}\] so x can be either \[360^\circ{} k\] (for every integer k) or \[120^\circ{}+ 360^{\circ}k\] or \[240^\circ{}+ 360^{\circ}k\]
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