SOLUTION: Solve the following when 0 degrees is less then or equal to x less the 360 degrees A) sqrt 3 csc x- 2 cot x =0 B) 2 sin^2 x

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Question 745383: Solve the following when 0 degrees is less then or equal to x less the 360 degrees
A) sqrt 3 csc x- 2 cot x =0
B) 2 sin^2 x - cos x -1= 0

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Solve the following when 0 degrees is less then or equal to x less the 360 degrees
A) (sqrt 3)csc x- 2 cot x =0
Multiply thru by sin to get:
sqrt(3)*1 - 2cos(x) = 0
cos(x) = sqrt(3)/2
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x = 30 degrees or x = 330 degrees
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B) 2 sin^2 x - cos x -1= 0
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2(1-cos^2(x)) - cos(x) -1 = 0
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2 - 2cos^2(x) - cos(x) -1 = 0
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2cos^2(x) + cos(x) -1 = 0
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(2cos(x)-1)(cos(x)+1) = 0
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cos(x) = 1/2 or cos(x) = -1
x = 60 degrees or x = 300 degrees or x = 180 degrees
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Cheers,
Stan H.
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SOLUTION: Solve the following when 0 degrees is less then or equal to x less the 360 degrees A) sqrt 3 csc x- 2 cot x =0 B) 2 sin^2 x - cos x -1= 0