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(1)/(1+tan^(2)theta)+(1)/(1+cot^(2)theta...

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

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Find the value of (1)/(1+tan^(2)theta)+(1)/(1+cot^(2)theta)

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Prove the following trigonometric identities : (1+cot^(2)theta)(1-cos theta)(1+cos theta)=1( ii) tan^(2)theta-(1)/(cos^(2)theta)=-1

Prove each of the following identities : (i) cot^(2) theta - (1)/(sin^(2) theta)=-1 " " (ii) tan^(2) theta - (1)/(cos^(2) theta)=-1 (iii) cos^(2) theta + (1)/((1+ cot^(2) theta))=1

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

What is (1+ tan^(2) theta)/(1+cot^(2) theta) -((1-tan theta)/(1-cot theta ))^(2) equal to ?