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