How do you simplify $(sin(x)/(1+cos(x)))+(cos(x)/sin(x))$ ?

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Answer 1 · 2016-03-03T12:39:33

$1/sinx$

$(sinx/(1+cosx))+(cosx/sinx)$

= $(sinx*sinx+cosx*(1+cosx))/(sinx*(1+cosx)$

= $(sin^2x+cosx+cos^2x)/(sinx*(1+cosx)$

= $((1+cosx))/(sinx*(1+cosx)$

= $cancel((1+cosx))/(sinx*cancel(1+cosx)$

= $1/sinx$

How do you simplify (sin(x)/(1+cos(x)))+(cos(x)/sin(x))(sin(x)/(1+cos(x)))+(cos(x)/sin(x))?