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Prove the following identity : (sin th...

Prove the following identity :
`(sin theta)/(cot theta+ cosec theta)=2+ (sin theta)/(cot theta- cosec theta)` .

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove the following identity : 1/(sec theta+tan theta)= (1-sin theta...

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  2. Prove the following identity : (cot theta+ cosec theta -1)/(cot thet...

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  3. Prove the following identity : (sin theta)/(cot theta+ cosec theta)=...

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  4. Prove the following identity : (sin A-sin B)/(cosA+ cosB)+ (cosA-cos...

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  5. Prove the following identity : (1+ cot A+tan A) (sin A-cos A) =(secA...

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  6. Eliminate theta between the equation : x= h+a cos theta, y=k+ b sin ...

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  7. Eliminate theta between the equation : x = sin theta + cos theta, y ...

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  8. Eliminate theta between the equation : x =a cos theta + b sin theta,...

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  9. Eliminate theta between the equation : x =a sec theta, y= b tan thet...

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  10. Eliminate theta between the equation : x =a sec^3 theta, y = b tan^3...

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  11. Eliminate A between the equation : sec A+ tan A=m, sec A- tanA =n.

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  12. Eliminate A between the equation : a cosec A +b cot A= x^2, b cosec ...

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  13. Eliminate A between the equation : p sec A+q tanA= x, p tan A+ q sec...

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  14. Eliminate A between the equation : l tan A+m secA= n, l' tan A-m' se...

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  15. If m= sin theta+ cos theta and n= sec theta+cosec theta, prove that n...

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  16. If cot theta+cos theta=m, cot theta-cos theta=n, show that : (m^2-n^2...

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  17. If a cot theta+b cosec theta=x^2, b cot theta+a cosec theta =y^2, pro...

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  18. If x cos theta- y sin theta=a,x sin theta+ y cos theta=b, prove that x...

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  19. If cosec theta- sin theta= a^3, sec theta- cos theta= b^3, prove that ...

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  20. If x=r sin theta cos phi, y= r sin theta sin phi, z=r cos theta, prov...

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