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Answer to Question #6240 in Trigonometry for joy

Question #6240
sin(x)=csc(x)
Expert's answer
sin x=1/sin x
sin2x=1
So we have sin x=1 or sin x=-1

Consider the first equation sin x=1
hence x=pi/2+2k pi where k - integer

Consider the second equation sin x=-1
hence x=-pi/2+2k pi where k - integer

Therefore the answer is x=+-pi/2+2k pi where k - inetger

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