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If a, b and c are in G.P. then prove tha...

If a, b and c are in G.P. then prove that 1 a 2 - b 2 + 1 b 2 = 1 b 2 - c 2 . 1/(a^2-b^2)+1/(b^2)=1/(b^2-c^2)dot

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
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  2. If pcos e ctheta+qcottheta=2 and p^2cos e c^2theta-q^2cot^2theta=5 t...

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  3. If a, b and c are in G.P. then prove that <math xmlns="http://www.w3...

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  4. In triangle ABC tan(A/2), tan(B/2) and tan (C/2) are in A.P. then prov...

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  5. In triangleABC (b+c)/11=(c+a)/12=(a+b)/13 then prove that (cosA)/7=(co...

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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 triangle ABC cosA+cosB+cosC=3/2 then prove that triangle is equi...

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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, if BC is unity, sin(A/2)=x1,sin(B/2)=x2,cos(A/2)=x3,cos(B...

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  11. Number of solutions of the equation sin^4x-cos^2xsinx+2sin^2x+sinx=0in...

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  12. The ex-radii r1,r2,r3 or Delta ABC are in H.P. Show that its sides a,...

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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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