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Prove the following (cosectheta)/(cosect...

Prove the following
`(cosectheta)/(cosectheta-1)+(cosectheta)/(cosectheta+1) =2sec^2theta `

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KALYANI PUBLICATION-RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES-EXERCISE
  1. Prove the following 1/(cosectheta-cottheta) -1/sintheta=1/sintheta-1/(...

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  2. Prove the following tantheta/(1-cottheta) +cottheta/(1-tantheta) =sect...

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  3. Prove the following (cosectheta)/(cosectheta-1)+(cosectheta)/(cosecthe...

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  4. Prove the following costheta/(1-tantheta) +sintheta/(1-cottheta)=sinth...

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  5. Prove the following (tantheta+sectheta-1) /(tantheta-sectheta+1) =(1+s...

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  6. Prove the following (cosectheta+cottheta-1) /(cottheta-cosectheta+1) =...

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  7. Prove the following {(1-sintheta) /costheta}^2=(1-sintheta) /(1+sinthe...

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  8. Prove the following sqrt{(1+costheta) /(1-costheta)} =(1+costheta) /si...

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  9. Prove the following sqrt{(1-sintheta) /(1+sintheta)} =sectheta-tanthet...

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  10. Prove the following (cosectheta-sintheta)(sectheta-costheta)=1//(tanth...

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  11. Prove the following (1+tan^2theta) /(1+cot^2theta) =((1+tantheta) /(1+...

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  12. Prove the following sin^4theta-cos^4theta=sin^2theta-cos^2theta=1-2cos...

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  13. Prove the following sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

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  14. Prove the following 2sec^2theta-2cosec^2theta-sec^4theta+cosec^4theta=...

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  15. Prove the following (cos^2theta) /(1-tantheta) +sin^3theta/(sintheta-c...

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  16. Prove the following (sintheta-2sin^3theta) /(2cos^3theta-costheta) =ta...

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  17. Prove the following (sintheta +cosectheta) ^2+(costheta+sectheta) ^2=7...

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  18. If (sec A + tan A)(sec B + tan B)(sec C + tan C) = (sec A- tan A)(sec ...

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  19. If sin^2theta + sin^ 4theta = 1, then prove that cos^2theta+ costheta...

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  20. If tan^4theta - tan^2 theta= 1, then prove that cos^4theta+ cos^2theta...

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