Mathematics, 19.07.2019 14:00 dmurdock1973
Me with trigonometry. use trigonometric identities to solve 2cos^2(θ)=sin(θ)+1 exactly for 0≤θ< 2π. if there is more than one answer, enter your answers as a comma separated list.
Answers: 1
![\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\ -------------------------------\\\\ 2cos^2(\theta )=sin(\theta )+1\implies 2[1-sin^2(\theta)]=sin(\theta )+1 \\\\\\ 2-2sin^2(\theta )=sin(\theta )+1\implies 0=2sin^2(\theta )+sin(\theta )-1 \\\\\\\ 0=[2sin(\theta )-1][sin(\theta )+1]\\\\ -------------------------------](/tpl/images/0108/0528/f1647.png)
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Me with trigonometry. use trigonometric identities to solve 2cos^2(θ)=sin(θ)+1 exactly for 0≤θ< 2...
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