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Prove that (1+cos""pi/10)(1+cos""(3pi)/1...

Prove that `(1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9pi)/10)=1/16`

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Show that (1+"Cos"pi/10)(1+"Cos"(3pi)/10)(1+"Cos"(7pi)/10)(1+"Cos"(9pi)/10)=1/16 (AP March-2015,May-2015,TS May-2015)

Prove that: (1+ cos ""(pi)/(10)) (1+ cos ""(3pi)/(10)) (1+ cos ""(7 pi)/(10)) (1+ cos""(9 pi)/(10))=(1)/(16)

Show that (1+"cos"pi/9).(1+"cos"(3pi)/9).(1+"cos"(5pi)/9).(1+"cos"(7pi)/9)=9/16

cos""(2pi)/(15) cos ""(4pi)/(15)""cos(8pi)/(15) cos""(16pi)/(15)=

Show that cos^(2)""(pi)/(10)+cos^(2)""(4pi)/(10)+cos^(2)""(6pi)/10+cos^(2)""(9pi)/10=2 .

Prove that cos""(2pi)/7.cos""(4pi)/7.cos""(8pi)/7=1/8 .

Show that (1+ cos. (pi)/(8))(1+cos. (3pi)/(8))(1+ cos. (5pi)/(8))(1+ cos .(7pi)/(8))=(1)/(8)

Prove that 2 "cos"(pi)/13"cos"(9pi)/13+"cos"(3pi)/13+"cos"(5pi)/13=0

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SRISIRI PUBLICATION-QUESTION PAPER -Section B
  1. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

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  2. Show that sin ^(4). (pi)/(8)+ sin ^(4) .(3pi)/(8) sin ^(4). (5pi)/(8)...

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  3. Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9p...

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  4. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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  5. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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