SOLUTION: Sinx+ cosxcotx=cscx Please verify the following intentity and show all steps when solving this equation. Thank You!!
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-> SOLUTION: Sinx+ cosxcotx=cscx Please verify the following intentity and show all steps when solving this equation. Thank You!!
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Question 970143: Sinx+ cosxcotx=cscx Please verify the following intentity and show all steps when solving this equation. Thank You!! Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Sinx+ cosxcotx=cscx
sin x + cos x*(cos x/sin x)= 1/sin x Put everything in terms of sin x, cos x. Cot x=cos x/sin x
Now put left side over common denominator of sin x
[(sin x * sin x) +cos^2 x]/sin x= 1/ sin x
(sin^2 x +cos ^2 x)/sin x = 1/sin x
But sin^2x + cos^2 x =1
Therefore 1/sin x = 1/ sin x
