5. tan^ 2 A+cot^ 2 A+2=sec^ 2 1cos e * c ^ 2 * A
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Step-by-step explanation:
tan^2A + 2+cot^2A
= (1+tan^2A)+(1+cot^2A)
= (sec^2A+ cosec^2A)
= (1/(cos^2A) +(1/sin^2A))
= (sin^2A+cos^2A)/(cos^2A*sin^2A)
= 1/(cos^2A*sin^2A)
= (1/cos^2A)*(1/sin^2A)
= sec^2A * cosec^2A
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