SOLUTION: solve the equation in the inverval [0°,360°) 12.) 4sin^2 theta = 3 13.) 3sin^2 theta - sin theta-4 = 0

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Question 969704: solve the equation in the inverval [0°,360°)
12.) 4sin^2 theta = 3
13.) 3sin^2 theta - sin theta-4 = 0

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
solve the equation in the inverval [0°,360°)
12.) 4sin^2 theta = 3
sin^2 theta=3/4
sin theta=±√3/2
theta=60˚, 120˚, 240˚, 300˚
..
13.) 3sin^2 theta - sin theta-4 = 0
(3sin theta-4)(sin theta+1)=0
sin theta=4/3 (reject,(-1 < sin theta < 1 ))
or
sin theta=-1
theta=270˚

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