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

Algebra ->  Trigonometry-basics -> SOLUTION: solution to sin^2x+3sinx+2=0 on [0,pi]      Log On


   



Question 1154379: solution to sin^2x+3sinx+2=0 on [0,pi]
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Properly uses parentheses, JUST IN CASE.

Answer by ikleyn(52834) About Me  (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 = 3pi%2F2,


which is outside of the given interval.


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

Answered, solved, explained and completed.