sin (90°-theta) /1+sin theta+cos theta/1-cos (90-theta) =2sec theta
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Step-by-step explanation:
sin(90-A)/1+sinA + cosA/1-cos(90-A)
=cosA/1+sinA +cosA/1-sinA
=cosA[1-sinA+1+sinA/1-sin²A]
=cosA[2/cos²A]
=2/cosA
=2secA
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