SOLUTION: Solve cos(2x)+sin(x)=1in[0,2pi)
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Question 868732: Solve cos(2x)+sin(x)=1in[0,2pi)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Use the trigonometric identity .
Since , it can be re-arranged to
.
Substituting into you get
<---> (subtracting from both sides of the equal sign)
That is a quadratic equation in .
It looks complicated, but if you rename ,
you can re-write it and it looks very simple:
<--><-->-->
So, is true when
.
In ,
--> and
-->
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