SOLUTION: Solve the equation in the interval [0,360degrees). Give solutions to the nearest tenth, if necessary. Problem: sin^2 theta-sin theta-12=0 I have factored out and have the resul

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation in the interval [0,360degrees). Give solutions to the nearest tenth, if necessary. Problem: sin^2 theta-sin theta-12=0 I have factored out and have the resul      Log On


   

Question 866036: Solve the equation in the interval [0,360degrees). Give solutions to the nearest tenth, if necessary.
Problem: sin^2 theta-sin theta-12=0
I have factored out and have the results sin theta= -3 and sin theta= 4 I do not know where to go from there.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation in the interval [0,360degrees). Give solutions to the nearest tenth, if necessary.
Problem: sin^2 theta-sin theta-12=0
I have factored out and have the results sin theta= -3 and sin theta= 4 I do not know where to go from there.
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sin^2(t) - sin(t) -12 = 0
Factor:
(sin(t)-4)(sin(t)+3) = 0
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sin(t) = 4 or sin(t) = -3
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Comment: -1<= sin(x) <=1
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Ans: There is no angle where sin = 4;
There is no angle where sin = -3
Therefore the answer is NO SOLUTION.
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Cheers,
Stan H.
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