SOLUTION: Please help me solve this equation: Direction: Find all solution in the interval [0,2pi) by algebraically: 2sin(^2)*2x+5sin2x-3=0

SOLUTION: Please help me solve this equation: Direction: Find all solution in the interval [0,2pi) by algebraically: 2sin(^2)*2x+5sin2x-3=0

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Question 739045: Please help me solve this equation: Direction: Find all solution in the interval [0,2pi) by algebraically: 2sin(^2)*2x+5sin2x-3=0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all solution in the interval [0,2pi) by algebraically: 2sin(^2)*2x+5sin2x-3=0
***

..
(2sin(2x)-1)=0
sin(2x)=1/2
2x=π/6, 5π/6 (in Q1 and Q2 where sin>0)
x=π/12, 5π/12
..
or
(sin(2x)+3)=0
sin(2x)=-3(reject, (-1 ≤ sin(2x) ≤ 1)
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