Another problem help

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add and simlify (1+cosx/sinx) + (sinx/1+cosx)

i got to (1+2cosx+cos^2x+sin^2x)/(sinx+sinxcosx) but i got stuck and don't know what else to do.
 
What is sin<sup>2</sup>(x) + cos<sup>2</sup>(x) equal to? Once you've done that simplification, factor the sine back out of the denominator, factor the 2 out of the numerator, and cancel the common factor.

Eliz.
 
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