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You may have a typo in your question. I'll answer it for sinx/(1-cosx)

Multiply the numerator and denominator by (1 +cosx) and the denominator becomes (1-cos2x). By an identity, 1-cos2x = sin2x, giving you one term in the numerator.

Your expression simplifies to sinx(1+cosx)/sin2x. Factor out sinx and you get (1+cosx)/sinx.

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12y ago
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Q: How do you break 1 sinx divided 1-cosx?
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