SOLUTION: Can somebody please help verify this? Cot(x)csc(x)+sec(x)=csc^2(x)sec(x)

Question 1024532: Can somebody please help verify this?
Cot(x)csc(x)+sec(x)=csc^2(x)sec(x)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can somebody please help verify this?
Cot(x)csc(x)+sec(x)=csc^2(x)sec(x)
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Change everything to sins and cosines.
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[cos/sin](1/sin) + 1/cos = (1/sin)^2*(1/cos)
(cos/sin^2) + 1/cos = 1/(sin^2*cos)
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Multiply thru by sin*cos to get:
(cos^2/sin) + sin = (1/sin)
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Multiply thru by sin to get:
cos^2 + sin^2 = 1
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1 = 1
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Cheers,
Stan H.
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