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If cos^2theta- sin^2theta= tan^2 phi, th...

If `cos^2theta- sin^2theta= tan^2 phi`, then prove that `cos^2phi – sin^2phi= tan^2theta`

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KALYANI PUBLICATION-RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES-EXERCISE
  1. If sintheta + cosectheta= 2, then prove that sin^100theta + cosec^100 ...

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  2. If sintheta - costheta = 1, then prove that sintheta + costheta =+-1

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  3. If cos^2theta- sin^2theta= tan^2 phi, then prove that cos^2phi – sin^2...

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  4. If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha)then prove that sqr...

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  5. If tan^2alpha = 1 + tan^2beta,then prove that cos^2 beta = cot^2alpha

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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