Nouha Nouha
  • 15-09-2016
  • Mathematics
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How to solve 3 sin^(2)x = cos^(2)x

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Panoyin
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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