Verify that the equation is an identity:

`csc(x) - (sin(x))/(1+cos(x)) = cot(x)`

Expert Answers

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We will start from the left side of the equation and try to get right side of equation.


Now we use definition of cosecant `cscx=1/sinx.`


Now we add two fractions together.


Now we use basic trigonometric identity `sin^2x+cos^2x=1=>1+sin^2x=cos^2x.`




Now we use the fact that `cotx=cosx/sinx.`


We have successfully proved that left side of the equation is equal to the right side of equation.


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