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Step-by-step explanation:
m=cosA-sinA and n=cosA+sinA
m²=cos²A+sin²Am²=1-2sinAcosA
n²=cos²A+sin²Am²=1+2sinAcosA
m²-n²=-4sinAcosA
m²+n²=2
m²-n² / m²-n²= -2sinAcosA
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Now 2 / tanA + cot A
2/ (sinA/cosA+cosA/sinA)
=2/ {(sin²A+cos²A)/sinAcosA)
=2sinAcosA/1
=2sinAcosA
So m²-n² / m²-n²= -2sinAcosA=-2/tanA +cotA
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