Leroro123
Leroro123 Leroro123
  • 19-03-2018
  • Mathematics
contestada

If sin^2(x) - 2sin(x) = 2, then sin(x) = _____.

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sqdancefan
sqdancefan sqdancefan
  • 20-03-2018
Let z = sin(x).
.. z^2 -2z = 2
.. z^2 -2z +1 = 3
.. (z -1)² = 3
.. z -1 = ±√3
.. z = 1 -√3 . . . . . the positive solution is extraneous

sin(x) = 1 -√3
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