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shaymilner4 shaymilner4
  • 27-07-2016
  • Mathematics
Answered

Solve the equation for [0,2pi]

cos2x=1/sqrt2

Verified Answer :

Panoyin
Panoyin Panoyin
  • 27-07-2016

\(cos(2x) = \frac{1}{\sqrt{2}}\)
\(cos(2x) = \frac{1}{\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}\)
\(cos(2x) = \frac{\sqrt{2}}{2}\)
\(cos(2x) = cos(45)\)
\(cos(x) = cos(22.5)\)
\(x = 22.5\)

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