prove it: (secA-cosA)(cot A+tanA)=tanAsecA
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LHS = (secA-cosA)(cot A+tanA)
LHS = (1/cosA - cosA)(cosA/sinA+ sinA/cosA)
LHS = (1-cos²A/cosA)(cos²A+sin²A/sinAcosA)
LHS = (sin²A/cosA)(1/sinAcosA)
LHS = (sinA×sinA/cosA)(1/sinAcosA)
(cancel sinA and sinA)
LHS = (sinA/cosA)(1/cosA)
LHS = tanAsecA
LHS = RHS
LHS = (1/cosA - cosA)(cosA/sinA+ sinA/cosA)
LHS = (1-cos²A/cosA)(cos²A+sin²A/sinAcosA)
LHS = (sin²A/cosA)(1/sinAcosA)
LHS = (sinA×sinA/cosA)(1/sinAcosA)
(cancel sinA and sinA)
LHS = (sinA/cosA)(1/cosA)
LHS = tanAsecA
LHS = RHS
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