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1+^n C1costheta+^n C2cos2theta+........ ...

`1+^n C_1costheta+^n C_2cos2theta+........ +^n C_ncosntheta` equals

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For all n in N, cos theta cos 2theta cos 4theta ....cos2^(n-1)theta equals to

If (2^n+1)theta=pi then 2^n costheta cos2theta cos2^2 theta .......cos 2^(n-1) theta=

costheta+cos2theta+cos3theta+.......+cos(n-1)theta+cosntheta=

If z=costheta+isintheta is a root of the equation a_0z^n+a_2z^(n-2)++a_(n-1)z^+a_n=0, then prove that a_0+a_1costheta+a_2^cos2theta++a_ncosntheta=0 a_1"sin"theta+a_2^sin2theta++a_nsinntheta=0

If z=costheta+isintheta is a root of the equation a_0z^n+a_2z^(n-2)+.....+a_(n-1)z+a_n=0, then prove that a_0+a_1costheta+a_2^cos2theta++a_ncosntheta=0 a_1"sin"theta+a_2^sin2theta++a_nsinntheta=0

Prove that sum_(r=1)^n(1/(costheta+"cos"(2r+1)theta))=(sinntheta)/(2sintheta* costheta*cos (n+1)theta),(w h e r e n in N)dot

If cos e c\ theta+cottheta=m and cos e c\ theta-cottheta=n , prove that m n=1

The value of sqrt((1+costheta)/(1-costheta)) is (a) cottheta-cos e c\ theta (b) cos e c\ theta+cottheta (c) cos e c^2theta+cot^2theta (d) (cottheta+cos e c\ theta)^2

If z= costheta+isintheta , then the value of (z^(2n)-1)/(z^(2n)+1) (A) i tan n theta (B) tan n theta (C) icot n theta (D) -i tan n theta

Prove that: 2s e c^2theta-s e c^4theta-2cos e c^2theta+cos e c^4theta=(1-t a n^8theta)/(t a n^4theta)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. A non-zero vectors a is parallel to the line of intersection of the pl...

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  2. The value of the expression ((sin3theta)/(sintheta))^2-((cos3theta)/(c...

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  3. 1+^n C1costheta+^n C2cos2theta+........ +^n Cncosntheta equals

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  4. about to only mathematics

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  5. The value of ((""^(50)C(0))/(1)+(""^(50)C(2))/(3)+(""^(50)C(4))/(5)+…....

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  6. If 1/|a| > 1/|b|, then |a| < b, where a and b are non-zero real number...

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  7. If ninth term in the expansion of (3^(log)3(9^((x-1)+7))+1/(3^ -1/8(lo...

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  8. Draw the graph of the function: f(x)=||x2|-3|

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  9. Find the coefficient of x^n in the expansion of (1-9x+20 x^2)^(-1)dot

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  10. The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is (a) 0 (b) ...

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  11. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

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  12. Value of (2sin9^(@)sin 21^(@)sin 39^(@)sin 51^(@)cos21^(@)sin 81^(@))/...

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  13. Let f(n)=sum(r=0)^nsum(k=r)^n(k r)dot Find the total number of divis...

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  14. Complete solution of inequality ||3x-9|+2|>2 is (a)(-oo,oo) (b) {3} ...

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  15. Draw the graphs of y=x+x/(|x|)

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  16. If the sum of n terms of an A.P is cn (n-1)where c ne 0 then the sum o...

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  17. Suba Rao started work in 1995 at an annual salary of Rs 5000 and re...

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  18. lim(n->oo) sum(r=1)^ntan^(- 1)((2r+1)/(r^4+2r^3+r^2+1)) is equal to

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  19. Consider an A.P. a(1), a(2), "……"a(n), "……." and the G.P. b(1),b(2)"…....

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  20. If f(x)=sin{[x+5]+{x-{x-{x}}}" for "x in (0,pi/4) is invertible, where...

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