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Prove that : (i) (1)/(1+tan^(2)thet...

Prove that :
(i) `(1)/(1+tan^(2)theta)+(1)/(1+cot^(2)theta)=1`
(ii) `sin^(2)theta+(1)/(1+tan^(2)theta)=1`

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

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

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

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RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Exercise 13A
  1. Prove each of the following identities : (i) (1- cos^(2) theta) "co...

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  2. Prove each of the following identities : (i) (sec^(2) theta -1) cot^...

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  3. Prove that : (i) (1)/(1+tan^(2)theta)+(1)/(1+cot^(2)theta)=1 ...

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  4. Prove each of the following identities : (i) (1+ cos theta)(1- cos t...

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  5. Prove each of the following identities : (i) cot^(2) theta - (1)/(si...

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  6. Prove each of the following identities : (1)/((1+ sin theta)) + (1)/...

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  7. Prove each of the following identities : (i) sec theta(1- sin theta)...

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  8. Prove each of the following identities : (i) 1+ (cot^(2) theta)/((1+...

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  9. Prove each of the following identities : ((1+ tan^(2) theta) cot th...

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  10. Prove each of the following identities : (tan^(2) theta)/((1+ tan^(...

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  11. Prove each of the following identities : (sin theta)/((1+ cos theta...

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  12. Prove each of the following identities : (tan theta)/((1-cot theta)...

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  13. Prove each of the following identities : ( cos^(2) theta)/((1- tan t...

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  14. Prove each of the following identities : (cos theta) /((1- tan thet...

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  15. Prove each of the following identities : (1+ tan^(2) theta)(1+ cot^(...

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  16. Prove each of the following identities : (tan theta)/((1+ tan^(2) t...

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  17. Prove each of the following identities : (i) sin^(6) theta + cos^(6...

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  18. Prove each of the following identities : (i) (1- tan^(2) theta)/(1+ ...

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  19. Prove each of the following identities : (i) (tan theta)/((sec theta...

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  20. Prove each of the following identities : (i) (sec theta -1)/(sec the...

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