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Prove that (cosA-sinA+1)/(cosA+sinA-1) =...

Prove that `(cosA-sinA+1)/(cosA+sinA-1) = cosecA+cotA`

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KALYANI PUBLICATION-RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES-EXERCISE
  1. Prove that (cosA-sinA+1)/(cosA+sinA-1) = cosecA+cotA

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  2. Express sin theta, cos theta,cot thetain terms of sec theta .

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  3. Express tan theta, sec theta, cot thetain terms of cos theta.

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  4. Express sin theta,cos theta,tan thetain terms of cosec theta.

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  5. Express cos theta, cot theta, tan thetain terms of sin theta.

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  6. Prove the following identities using geometry sin^2 theta+cos^2theta=...

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  7. Prove the following identities using geometry 1+tan^2theta=sec^2theta

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  8. Prove the following identities using geometry 1+cot^2theta=cosec^2thet...

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  9. Prove the following (1 + tan^2 theta)(1- sin ^2theta) = 1

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  10. Prove the following (sec ^2theta -1) cos^2 theta=sin^2theta

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  11. Prove the following tan ^2theta-sin^2theta =tan^2theta* sin^2theta

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  12. Prove the following (sin theta) /(1+costheta) =(1-costheta) /(sintheta...

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  13. Prove the following (1 + sectheta) /(sectheta )=(sin^2theta) /(1-costh...

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  14. Prove the following sec^2theta+ cosec^2theta= sec^2theta*cosec^2theta

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  15. Prove the following 1+(cot^2theta) /(1+cosectheta)=cosectheta

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  16. Prove the following (tantheta-cottheta)/(sintheta*costheta) =sec^2thet...

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  17. Prove the following tan^2A- tan^ 2B=(sin^2A-sin^2B)/(cos^2A*cos^2B) =...

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  18. Prove the following (cos ^2A* sin^2 B)- (sin^2 A* cos ^2B)= cos^2 A- c...

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  19. Prove the following 1/(1-sintheta) +1/(1+sintheta) =2sec^2theta

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  20. Prove the following 1/(sectheta-tantheta) -1/costheta=1/costheta-1/(se...

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  21. Prove the following 1/(cosectheta-cottheta) -1/sintheta=1/sintheta-1/(...

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