SOLUTION: Solve sec^2 θ + 2tan^2 θ = 4 for all positive angles less than 360°.
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Question 1068832
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Solve sec^2 θ + 2tan^2 θ = 4 for all positive angles less than 360°.
Answer by
Alan3354(69443)
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sec^2 + 2tan^2 = 4
Sub for sec^2
tan^2+1 + 2tan^2 = 4
3tan^2 = 3
tan^2 = 1
tan(t) = 1
theta = 45, 225 degs
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tan(t) = -1
theta = 135, 315 degs