cosA×cosecA-sinA×secA/cosA+sinA
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Step-by-step explanation:
cosAcosecA-sinAsecA/sinA+cosA
={cosA/sinA-sinA/cosA}/sinA+cosA
=(cos²A-sin²A/sinAcosA)×1/sinA+cosA
={(cosA-sinA)(cosA+sinA)/sinAcosA} ×1/(sinA+cosA)
=cosA-sinA/sinAcosA
=1/sinA-1/cosA
=cosecA-secA
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