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At which values in the interval [0, 2π) will the functions f (x) = 2sin2θ and g(x) = −1 + 4sin θ − 2sin2θ intersect?

At Which Values In The Interval 0 2π Will The Functions F X 2sin2θ And Gx 1 4sin Θ 2sin2θ Intersect class=

Answer :

Given:

[tex]\begin{gathered} f(x)=2sin^2\theta \\ g(x)=-1+4\sin \theta-2\sin ^2\theta \end{gathered}[/tex][tex]\begin{gathered} \text{When }\theta=\frac{\pi}{6}, \\ f(x)=0.5 \\ g(x)=0.5 \end{gathered}[/tex][tex]\begin{gathered} \text{When x=}\frac{5\pi}{6}, \\ f(x)=0.5 \\ g(x)=0.5 \end{gathered}[/tex][tex]\theta=\frac{\pi}{6},\frac{5\pi}{6}[/tex]

2nd option is the final answer.

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