Answer:
Step-by-step explanation:
[tex]\frac{sinA+cosA}{sinA-cosA} +\frac{sinA-cosA}{sinA+cosA} \\=\frac{(sinA+cosA)^2+(sinA-cosA)^2}{(sinA+cosA)(sinA-cosA)} \\=\frac{sin^2A+cos^2A+2sinAcosA+sin^2A+cos^2A-2sinAcosA}{sin^2A-cos^2A} \\=\frac{1+1}{-(cos^2A-sin^2A)} \\=\frac{2}{-cos2A} \\=-2sec(2A)[/tex]
