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Solve each equation for 0 <_ 0<_ 2Pi(3.14)

i) 18sin^20 +3cos0 - 17 = 0

1 answer

18sin^2 Ø +3cosØ - 17 = 0
18(1- cos^2 Ø) + 3cosØ - 17 = 0
18 - 18cos^2 Ø + 3cosØ -17 = 0
18cos^2 Ø - 3cosØ -1 = 0
(6cosØ + 1)(3cosØ - 1) = 0
cosØ = -1/6 or cosØ = 1/3

Ø = 1.738.. or Ø = 4.5449..
or
Ø = 1.230959.. or Ø = 5.0522..
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