SOLUTION: For the following question, find all solutions in the interval [0, 2 pie) sin^2(theta) + cos(theta)sin(theta) = 0

Question 814040: For the following question, find all solutions in the interval [0, 2 pie)
sin^2(theta) + cos(theta)sin(theta) = 0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all solutions in the interval [0, 2 pie)
sin^2(theta) + cos(theta)sin(theta) = 0
***
sin^2(x)+cos(x)sin(x)=0
sin(x)(sin(x)+cos(x)=0
..
sinx=0
x=0,π
..
sinx+cosx=0
sinx=-cosx
sinx/cosx=-1
tanx=-1
x=3π/4, 5π/4
solutions: 0,π,3π/4,5π/4
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