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Eliminate theta between the equation : ...

Eliminate `theta` between the equation :
`x =a cos theta + b sin theta, y =a sin theta- b cos theta`.

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Eliminate theta between the equation : x= h+a cos theta, y=k+ b sin ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If (sin A)/(sin B)=m, and (cosA)/(cosB)=n, prove that tan A= +- m/n sq...

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  17. If tan alpha= n tan beta and sin alpha= m sin beta, prove that cos^2 a...

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  18. Which of the six t-ratios are positive for the angle : 210^@ ?

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  19. Which of the six t-ratios are positive for the angle : -405^@ ?

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  20. If sin theta= -1/sqrt2 and tan theta=1, find the quadrant in which the...

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