SOLUTION: Find the solutions of the equation in [0, 2pi) sin x + cos x cot x = csc x

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Question 641820: Find the solutions of the equation in [0, 2pi) sin x + cos x cot x = csc x
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the solutions of the equation in [0, 2pi)
sin x + cos x cot x = csc x
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sin(x) + (cos(x))(cos(x)/sin(x)) = 1/sin(x)
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Multiply thru by sin(x) to get:
sin^2(x) + cos^2(x) = 1
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1 = 1
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The equation is true for all values of "x".
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Note: pi/6 is just one of an infinite # of answers
to the problem you posted.
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Cheers,
Stan H.
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