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Prove each of the following identities :...

Prove each of the following identities :
`(1)/((1+ sin theta)) + (1)/((1- sin theta)) = 2 sec^(2) theta `

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Prove that (1)/(1-sin theta) +(1)/(1+sin theta) = 2sec^2 theta

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

Prove each of the following identities : (sin theta)/((1+ cos theta)) + ((1+ cos theta))/(sin theta) = 2 "cosec" theta

Prove (1)/(1+sin theta)+(1)/(1-sin theta)=2sec^(2)theta

Prove each of the following identities : ( cos^(2) theta)/((1- tan theta)) + (sin^(3) theta)/((sin theta - cos theta)) = (1+ sin theta cos theta)

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

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

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

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

Prove each of the following identities : (tan theta)/((1-cot theta)) + (cot theta)/((1- tan theta)) = (1+ sec theta "cosec" theta)

RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Exercise 13A
  1. Prove each of the following identities : (i) (1+ cos theta)(1- cos t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Prove each of the following identities : (i) sqrt((1+ sin theta)/(1-...

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  19. Prove each of the following identities : (cos^(3) theta + sin^(3) th...

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  20. Prove each of the following identities : (sin theta)/((cot theta + "...

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