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If pcos e ctheta+qcottheta=2 and p^2cos...

If `pcos e ctheta+qcottheta=2` and `p^2cos e c^2theta-q^2cot^2theta=5` then the value of `sqrt(81 p^(-2)-q^(-2))` is________

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. In A B C , prove that cosA+cosB+cosClt=3/2dot

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  2. In a DeltaABC, the median to the side BC is of length 1/sqrt(11-6sqrt...

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  3. If pcos e ctheta+qcottheta=2 and p^2cos e c^2theta-q^2cot^2theta=5 t...

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  4. In a /\A B C , if tanA/2,tanB/2,tanC/2"are in"AdotPdot, then show t...

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  5. With usual notion, if in triangle A B C , (b+c)/(11)=(c+a)/(12)=(a+b)...

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  6. alpha,beta,gammaand delta are angles in I,II,II and IV quadrants, resp...

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  7. Solution of the equation sin(sqrt(1+sin2theta))=sintheta+costhetai s(n...

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  8. If in a Delta ABC, cosA+ cosB + cosC =3/2. Prove that DeltaABC is an e...

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  9. Let alpha,beta,gamma>0a n dalpha+beta+gamma=pi/2dot Then prove that sq...

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  10. In DeltaABC,BC=1,sin.(A)/2=x1,sin.(B)/2=x2,cos.(A)/2=x3andcos.(B)/2=x4...

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  11. The number of solution of sin^4x-cos^2xsinx+2sin^2x+sinx=0in0lt=xlt=3p...

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  12. The exradii r1,r2 and r3 of /\A B C are in H.P. Show that its side...

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  13. Solve 7cos^2theta+3sin^2theta=4

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  14. If sintheta+costheta=1/5"and"0 le theta ltpi, thentantheta is

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  15. In A B C Prove that cos^2A/2+cos^2B/2+cos^2C/2lt=9/4dot If cos^2A/2...

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  16. The exradii r1,r2 and r3 of /\A B C are in H.P. Show that its sides a...

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  17. Find the number of roots of the equation tan(x+pi/6)=2tanx ,forx in (0...

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  18. In triangle A B C , prove that cos e c A/2+cos e c B/2+cos e c C/2geq...

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  19. If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1...

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  20. C F is the internal bisector of angle C of A B C , then C F is equal ...

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