Question #01154

1 Answer
sente
Oct 24, 2016

1/(csc(x)+1)+1/(csc(x)-1) = ((csc(x)+1)+(csc(x)-1))/((csc(x)+1)(csc(x)-1))

=(2csc(x))/(csc^2(x)-1)

=(2csc(x))/(cot^2(x))

=(2/sin(x))/(cos^2(x)/sin^2(x))

=(2/sin(x))/(cos^2(x)/sin^2(x))*(sin^2(x)/cos(x))/(sin^2(x)/cos(x))

=(2sin(x)/cos(x))/cos(x)

=(2tan(x))/cos(x)

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