(cosecA -sinA) (secA - cosA) (tanA + cotA) is
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=(1/sinA-sinA)(1/cosA-cosA)(sinA/cosA+cosA/sinA)
=(1-sin²A/sinA)(1-cos²A/cosA)(sin²A+cos²A/cosA.sinA)
=cos²A/sinA×sin²A/cosA×1/cosA.sinA
=cosA.sinA×1/cosA.sinA
=1
=(1-sin²A/sinA)(1-cos²A/cosA)(sin²A+cos²A/cosA.sinA)
=cos²A/sinA×sin²A/cosA×1/cosA.sinA
=cosA.sinA×1/cosA.sinA
=1
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