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Prove that (cot theta + "cosec" theta ...

Prove that
`(cot theta + "cosec" theta -1 )/(cot theta - "cosec" theta +1)=(1+ cos theta)/(sin theta).`

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TARGET PUBLICATION-TRIGONOMETRY -Additional Problems for Practice (Based on practice Set 6.1)
  1. If 5 sin theta - 12 cos theta = 0 , find the values of sec theta and c...

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  2. If 3 sin theta - 4 cos theta = 0 , then find the values of tan theta ,...

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  3. If cos theta=(sqrt(3))/2 then find the value of (1-sec theta)/(1+cosec...

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  4. If sintheta=4/5 , find the value of (4tantheta-5costheta)/(sectheta...

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  5. Prove that : (sin theta)/(1 - costheta) = cosec theta + cot theta

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  6. Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin thet...

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  7. Prove that : sqrt[[1+costheta]/[1-costheta]]=cosectheta+cottheta

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  8. Prove the trigonometric identities: sqrt((1-costheta)/(1+costheta))=co...

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  9. Prove that sec x+tan x=sqrt((1+sin x)/(1-sin x))

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  10. Prove that : sec^(2)theta - cos^(2) theta = sin^(2)theta(sec^(2)thet...

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  11. Prove that : cos^(4)theta - cos^(2)theta = sin^(4)theta - sin^(2) t...

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  12. Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

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  13. Prove that : sin^(4)theta + cos^(4)theta = 1 - 2 cos^(2) theta + 2 c...

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  14. tan theta/(1-cot theta)+cot theta/(1-tan theta)=1+sec theta cosec thet...

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  15. tan theta/(1-cot theta)+cot theta/(1-tan theta)=1+sec theta cosec thet...

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  16. Prove that : (tan theta)/(sec theta -1) + (tan theta)/(sec theta + 1...

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  17. Prove that (cot theta + "cosec" theta -1 )/(cot theta - "cosec" thet...

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  18. Eliminate alpha , if x = r cos alpha , y = r sin alpha.

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  19. Eliminate theta from the equation a=x sec theta and b=y tan theta .

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  20. Eliminate theta if x=a cot theta -b cosec theta and y=acot theta+b cos...

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