Find all solutions of the equation in the interval [0, 2pi) cosx (2 sinx+1)=0
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Answer:
Step-by-step explanation:
From the graph, the x-intercepts are;
These are root of the polynomial function represented by the given graph.
By the remainder theorem;
According to the factor theorem, if is a factor of
, then
This implies that;
are factors of the required function.
Hence;
We expand using difference of two squares to obtain;
We expand using the distributive property to get;
Rewrite in standard form to obtain;