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Pro100FrosTy
@Pro100FrosTy
July 2022
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cos2x - sin^2(p/2-x) = -0.25
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happy3428
Verified answer
cos2x - sin^2(p/2-x) = -1/4
cos2x - (1-cos(2(p/2-x)))/2 = -1/4
(2cos2x - 1 - cos2x) /2 = -1/4
(cos2x - 1)/2 = -1/4
cos2x=1\2
2x= ±π/3 + 2πn
x= ±π/6 + πn
n ∈ Z
6 votes
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Answers & Comments
Verified answer
cos2x - sin^2(p/2-x) = -1/4cos2x - (1-cos(2(p/2-x)))/2 = -1/4
(2cos2x - 1 - cos2x) /2 = -1/4
(cos2x - 1)/2 = -1/4
cos2x=1\2
2x= ±π/3 + 2πn
x= ±π/6 + πn
n ∈ Z