SOLUTION: find all solutions if 0_< theta < 360 sin^2(2)x - 4sin2x

SOLUTION: find all solutions if 0_< theta < 360 sin^2(2)x - 4sin2x - 1 = 0

Question 679509: find all solutions if
0_< theta < 360
sin^2(2)x - 4sin2x - 1 = 0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find all solutions if
0_< theta < 360
sin^2(2)x - 4sin2x - 1 = 0
solve for sin(2x) using following quadratic formula:

a=1, b=-4, c=-1
ans:
sin(2x)=4.236 (reject, -1 ≤ sin(2x) ≤ 1)
or
sin(2x)≈-0.236
2x≈193.65� and 346.35� (in quadrants III and IV where sin<0
x=96.82� and 173.18�
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