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Prove the trigonometric identities: sqrt...

Prove the trigonometric identities: `sqrt((1-costheta)/(1+costheta))=cos e ctheta-cottheta`

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sintheta/(1-cottheta)+costheta/(1-tantheta)=

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

Prove the following identities: (frac(cottheta)(cosectheta-1))=(frac(cosectheta+1)(cottheta))

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

Prove the following identities: (sintheta+sectheta)^2+(costheta+cosectheta)^2=(1+cosecthetasectheta)^2

Prove the following identities: (frac(sintheta)(1+costheta))+(frac(1+costheta)(sintheta))=2cosectheta

Prove the following: sqrt(frac(1-cos2theta)(1+cos2theta))=tantheta

Prove the following identities: (1+cottheta-cosectheta)(1+tantheta+sectheta)=2

(sintheta+sin 2theta)/(1+costheta+cos2theta)=

Prove the following: tan^-1(sqrt(frac{1-costheta}{1+costheta})) = frac{theta}{2} , if theta lies in (-pi,pi)

TARGET PUBLICATION-TRIGONOMETRY -Additional Problems for Practice (Based on practice Set 6.1)
  1. If tan theta = (20)/(21) , then find the values of other trigonometric...

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  2. If 5 sin theta - 12 cos theta = 0 , find the values of sec theta and c...

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

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

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

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

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

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

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

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

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

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

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

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

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

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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=acosec theta+b ...

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