SOLUTION: Solve for x in interval (0,2pi): sin2x+cosx=0 I appreciate any help and advice offered to solve problems like these.

SOLUTION: Solve for x in interval (0,2pi): sin2x+cosx=0 I appreciate any help and advice offered to solve problems like these.

Algebra.Com

Question 808631: Solve for x in interval (0,2pi): sin2x+cosx=0
I appreciate any help and advice offered to solve problems like these.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve for x in interval (0,2pi):
sin2x+cosx=0
2sinxcosx+cosx=0
cosx(2sinx+1=0
cosx=0
x=π/2, 3π/2
or
2sinx+1=0
sinx=-1/2
x=7π/6,11π/6

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