15-09-2016
Mathematics

contestada

How to solve 3 sin^(2)x = cos^(2)x

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Panoyin Panoyin

15-09-2016

3sin²(x) = cos²(x)
cos²(x) cos²(x)
3tan²(x) = 1
3 3
tan²(x) = ¹/₃
tan(x) = ¹/₃√3
tan⁻¹[tan(x)] = tan⁻¹(¹/₃√3)
x = 30°, 150°
x = ¹/₆π radians, ⁵/₆π radians

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