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Prove that cosalpha/(sin3alpha)+(cos3alp...

Prove that `cosalpha/(sin3alpha)+(cos3alpha)/(sin9alpha)+(cos9alpha)/(sin27alpha)=1/2[cotalpha-cot27alpha]`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 7-EXERCISE
  1. If the variance of a distribution is 4 coefficient of variation is 5%,...

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  2. If f(x)=cos(logx),show that f(x)f(y)-1/2[f(x/y)+f(xy)]=0

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  3. Prove that cosalpha/(sin3alpha)+(cos3alpha)/(sin9alpha)+(cos9alpha)/(s...

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  4. Solve : sectheta-1=(sqrt2-1)tantheta

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  5. By mathematical induction show that 3^n>n^3when nge4. N is an integer.

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  6. Find the co-efficient of 1/xof the expansion of (1+x)^n(1+1/x)^nwhere ...

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  7. Find the sum up to n terms :n.1+(n-1).2+(n-2)3+(n-3).4+....

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  8. If n(p(r-1))/a=n(pr)/b=n(p(r+1))/c,then show that b^2=a(b+c)

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  9. Show that the four lines 2x+y+1=0,2x+y+7=0,x+2y-1=0 and x+2y+5=0 form ...

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  10. Find the equation-of the bisector of the obtused angle between the st...

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  11. The co-ordinate of centre and the diameter of a circle are (3, 7) and ...

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  12. Find the ratio in which the YZ. plane divides the line segment joining...

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  13. Evaluate :lim(xrarr0)(sqrtcosx-root(3)(cosx))/(sin^2x)

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  14. Find, form 1st principles, the derivatives of tansqrtxwith respect to ...

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  15. Using contrapositive method show that the following statement is true....

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  16. Find the validity of the following biconditional Statement. A triangle...

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  17. For any three events A. B.' C show thatP(AcupBcupC)=P(A)+P(B)+P(C)-P(A...

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  18. The mean and SD of the scoreing marks of 100 students are 40 and 5.1 r...

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  19. if tan (beta/2)=4 tan (alpha/2),show that tan( (beta-alpha)/2)=(3sinal...

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  20. If xcos(theta+120^@)=y cos (theta+240^@),show that x-y=-(x+y)sqrt3tant...

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