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If cos 3theta+sin3theta+(2sin2theta-3)(s...

If `cos 3theta+sin3theta+(2sin2theta-3)(sin theta-cos theta)gt0`, then `theta` lies in

A

`(2npi - (3pi)/(4), 2npi+ pi/4), in Z`

B

`(2npi - (pi)/(2), 2npi + pi/6) , n in Z`

C

`(2n - (pi)/(3), 2npi+pi/3), n in Z`

D

`(2npi - pi/4, 2npi+(3pi)/(4)), n in Z`

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A
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RESONANCE ENGLISH-DPP-QUESTION
  1. Let a sequence whose n^(th) term is {a(n)} be defined as a(1) = 1/2 ...

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  2. Which of the following are the solutions of equation 2sin 11x + cos3x ...

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  3. If cos 3theta+sin3theta+(2sin2theta-3)(sin theta-cos theta)gt0, then t...

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  4. If tan A/2=5/6,Tan B/2=20/37. Then sides are in

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  5. For all permissible values of x, if y= (sin3x(cos6x+cos4x))/(sinx(cos8...

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  6. If b+c+,c+a,a+b are in H.P. then which of the following hold(s) good ?

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  7. Three friends whose ages form a G.P. divide a certain sum of money in ...

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  8. The roots of the equation x ^(5) - 40 x ^(4) + ax ^(3) + bx ^(2) + cx ...

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  9. The number of terms of an A.P. is even; the sum of the odd terms is ...

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  10. a, b and c are the first three terms of a geometric series. If the har...

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  11. Consider a decreasing G.P. : g1,g2,g3...gn... Such that g1 + g2 + g3 =...

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  12. If (cosx-cosalpha)/(cosx-cosbeta)=(sin^2alphacosbeta)/(sin^2betacosalp...

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  13. For all pairs of angles (A, B), measured in degrees such that sin A + ...

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  14. If cos(theta+phi)=mcos(theta-phi) then tantheta is equal to

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  15. Let alpha be a real number such that 0 le alpha le pi. If f(x)=cos x+...

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  16. If a1,a2,a3,... are in A.P. and ai>0 for each i, then sum(i=1)^n n/(a(...

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  17. Let n quantities be in A.P., d being the common difference. Let the ar...

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  18. For a sequence {a(n)}, a(1) = 2 and (a(n+1))/(a(n)) = 1/3, Then sum(r=...

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  19. The sum of the first three terms of the G.P. in which the difference b...

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  20. Let S = sqrt(2) - sin sqrt(3) and C = cossqrt(2) - cossqrt(3) then wh...

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