SOLUTION: Need help with this question, it has more than one correct answer.
Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a co
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Question 864419: Need help with this question, it has more than one correct answer.
Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.)
Sin 2x=(square-root 3) sin x
Found 2 solutions by lwsshak3, josgarithmetic:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.)
Sin 2x=(square-root 3) sin x
sin 2x=√3 sin x
2sin x cos x=√3sin x
2 cos x=√3
cos x=√3/2
x=π/3, 5π/3 (in quadrants I and IV In which cos>0)
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
Sin 2x=(square-root 3) sin x
Double Angle Identity,
-
Either OR .
The first alternative means, or .
The second alternative means,
, meaning .
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