SOLUTION: solution to sin^2x+3sinx+2=0 on [0,pi]

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Question 1154379: solution to sin^2x+3sinx+2=0 on [0,pi]
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
Properly uses parentheses, JUST IN CASE.
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.

The given equation is equivalent to


    (sin(x)+1)*(sin(x)+2) = 0


sin(x) + 2 NEVER can be equal to zero;  THEREFORE, the only possibility is


    sin(x) + 1 = 0,   or, which is the same,   sin(x) = -1  with the solution  x = ,


which is outside of the given interval.


ANSWER.  In the given interval, the given equation HAS NO solution/solutions.

Answered, solved, explained and completed.



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