1+cosA+sina/1+cosA-sina=?
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1 + cosA + sinA / 1 + cosA - sinA
Dividing numerator and denominator by cosA
= secA + 1 + tanA / secA + 1 - tanA
= secA + tanA + 1 / secA - tanA + 1
= secA + tanA + (sec²A - tan²A) / secA - tanA + 1
= secA + tanA + (secA - tanA ) (secA+ tanA) / secA - tanA + 1
= (secA+ tanA)(secA - tanA + 1 ) /(secA-tanA+ 1 )
= (secA + tanA) = 1 + sinA / cosA
Hope this helps.
Dividing numerator and denominator by cosA
= secA + 1 + tanA / secA + 1 - tanA
= secA + tanA + 1 / secA - tanA + 1
= secA + tanA + (sec²A - tan²A) / secA - tanA + 1
= secA + tanA + (secA - tanA ) (secA+ tanA) / secA - tanA + 1
= (secA+ tanA)(secA - tanA + 1 ) /(secA-tanA+ 1 )
= (secA + tanA) = 1 + sinA / cosA
Hope this helps.
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