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Step-by-step explanation:
secA+tanA-1/tanA-secA+1
=secA+tanA-(sec²A-tan²A)/tanA-secA+1
=(secA+tanA)(1-secA+tanA)/ tanA-secA+1
=secA+tanA
=1/cosA+sinA/cosA
=1+sinA/cosA
=(1+sinA)(1-sinA)/cosA(1-sinA)
=1-sin²A/cosA(1-sinA)
=cos²A/cosA(1-sinA)
=cosA/1-sinA
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