Find every angle theta with 0 <= theta <= 2pi radians, and 2 sin^2(theta)+cos(theta)=2

sodni3 2021-02-25 Answered

Find every angle theta with 0θ2π radians, and 2sin2(θ)+cos(θ)=2

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Expert Answer

Margot Mill
Answered 2021-02-26 Author has 106 answers
sin2=1cos2,
so using x as θ,22cos2x+cosx=2,
2cos2xcosx=0,cosx(2cosx1)=0,
cosx=0or0.5
x=π3or60°,π2or90°,3π2or270°,5π3or300°.
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