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If `alpha,beta` are the solutions of the equation `acostheta+bsintheta=c, " where "a,b,c inRand " if " a^(2)+b^(2)gt0,cosalphanecosbeta and sin alphane sinbeta` then show that (i) `sinalpha+sinbeta=(2bc)/(a^(2)+b^(2))` (ii) `sinalpha.sinbeta=(c^(2)-a^(2))/(a^(2)+b^(2))`

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SRISIRI PUBLICATION-QUESTION PAPER -Section B
  1. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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  2. If alpha,beta are the solutions of the equation acostheta+bsintheta=c...

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  3. If alpha,beta are the solutions of the equation acostheta+bsintheta=c...

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  4. If A is not an integral multiple of (pi), prove that cos A cos 2A cos ...

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  5. Solve sin x + sqrt(3) cos x = sqrt(2).

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  6. Solve that sqrt(2)(sinx+cosx)=sqrt(3)

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  7. Solve 2 cos^(2) theta - sqrt(3) sin theta + 1 = 0.

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  8. Solve 2 cos^(2) theta + 11 sin theta = 7.

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  9. Solve sin theta + sin 5 theta = sin 3 theta , 0 lt theta lt pi.

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  10. Solve 1+sin^2 theta=3sin thetacostheta

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  11. Solve tan theta + 3 cot theta = 5 "sec" theta.

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  12. If acos2theta+bsin2theta=c" has "theta(1),theta(2) as its solutions ...

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  13. Given pnepmq . Show that the solutions of cosPtheta+cosqtheta=0 for...

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  14. Prove that Sin^-1""3/5+Sin^-1""8/17=Cos^-1""36/85

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  15. P.T. Cos^(-1)((4)/(5))+Sin^(-1)((3)/(sqrt34))=Tan^(-1)((27)/(11)).

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  16. Find the value of tan(Sin^(-1)3/5 + Cos^(-1) 5/(sqrt34)).

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  17. Show that cos(2Tan^(-1).(1)/(7))=sin(2Tan^(-1).(3)/(4))

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  18. Prove that tan^(-1)((1)/(2))+tan^(-1)((1)/(5))+tan^(-1)((1)/(8))=(pi)/...

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  19. Prove that sin^(-1)((4)/(5))+2 Tan^(-1)((1)/(3)) = (pi)/2.

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  20. If Cos^(-1)p+Cos^(-1)q+Cos^(-1)r = pi then, P.T. p^(2)+q^(2)+r^(2) = 2...

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