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(1+tan^(2)A)/(1+cot^(2)A)=((1-tan A)/(1-...

(1+tan^(2)A)/(1+cot^(2)A)=((1-tan A)/(1-cot A))^(2)

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Show that ((1+tan ^(2) A) /(1+cot ^(2) A ) ) =((1+ tan )/( 1-cot A ))^(2)= tan ^(2) A

Show that ((1+tan ^(2) A) /(1+cot ^(2) A ) ) =((1+ tan )/( 1-cot A ))^(2)= tan ^(2) A

Prove the following identities, where the angles involves are acute angles for which the expressions are defined:(x) ((1+tan^2A)/(1+Cot^2A))^2=((1-tan^2A)/(1-Cot^2A))^2=tan^4A

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(1+tan^(2)theta)/(1+cot^(2)theta)=((1-tan theta)/(1-cot theta))^(2)

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Consider the following statements 1 (1+tan^(2)theta)/(1+cot^(2)theta)=(1-tan theta)/(1-cot theta)^(2) is true for all 0 lt thetalt (pi)/(2),theta ne (pi)/(4) 2 cot theta=(1)/(tan theta) is true for theta =45^(@) only Which of the above statements is /are correct?

Show that (1- tan ^(2) A ) /( cot ^(2) A-1) =tan ^(2) A