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If sintheta +costheta =sqrt(2) costhetat...

If `sintheta +costheta =sqrt(2) costheta`then prove that `costheta -sintheta=sqrt(2) sintheta`

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KALYANI PUBLICATION-RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES-EXERCISE
  1. If tan^2alpha = 1 + tan^2beta,then prove that cos^2 beta = cot^2alpha

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  2. If a costheta -b sin theta = c,then prove that a sintheta + b costheta...

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  3. If sintheta +costheta =sqrt(2) costhetathen prove that costheta -sint...

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  4. If tantheta +sintheta=mand tantheta-sintheta=nprove that m^2-n^2=4sqrt...

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  5. Show that (a+b) ^2=4ab cos^2theta is possible if a=b

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  6. Eliminate theta x=r costheta, y=r sintheta

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  7. Eliminate theta and phi x sintheta=a, y tantheta=b

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  8. Eliminate theta, x=a cos^3theta,y=b sin^3theta

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  9. Eliminate theta and phi x costheta+y sintheta=a, y costheta-x sintheta...

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  10. Eliminate theta and phi costheta +sintheta=a, sintheta*costheta =b

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  11. Eliminate theta and phi sintheta +costheta =x, tantheta +cottheta=y

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  12. Eliminate theta x=a sintheta , y=a costheta

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  13. Eliminate theta and phi sintheta+costheta=a, sin^3theta+cos^3theta=b

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  14. Eliminate theta and phi sintheta+sinphi=a ,costheta+cosphi=b, theta-p...

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  15. If x=a sectheta *cosphiy=b sectheta*sinphi, z=c tantheta then prove...

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  16. Find the value of (sintheta)/(cosectheta)+(costheta)/(sectheta)-1

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  17. If theta is a positive acute angle and 2 costheta=1/2 sectheta,find th...

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  18. If theta be positive acute angle sin3 theta=cos(2theta+15),find the va...

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  19. If sec theta- tan theta=1/2,find the value of sec theta+ tan theta

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  20. If sin theta-cos theta=0,find the value of sec theta+ cosec theta

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