cosA/1/-tanA+sinA/1-cotA=sinA+cosA
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=cosA/1-tanA+sinA/1-cotA
=cosA/1-sinA/cosA+sinA/1-cosA/sinA
=cos2A/cosA-sinA-sin2A/cosA-sinA
=cos2A-sin2A/cosA-sinA
=(cosA+sinA)(cosA-sinA)/cosA-sinA
=sinA+cosA.
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