prove that:
cot⁡ sin⁡ cos⁡ =1- sin⁡ 2

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sinx + tanx
___________ = sinx
1 + secx

sinx + tanx
___________ = sinx
1 + secx

As usual for these types of identity proofs - first step is to convert the tangent and secant functions to their sine and cosine equivalents. You can then multiply the left hand side by cosx/cosx and it comes right out.