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The number of values of theta in the int...

The number of values of `theta` in the interval `(-pi/2,pi/2)` such that `theta != npi/5` for `ninN` and `tan theta = cot 5theta` as well as `sin2theta = cos 4theta` is

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RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. The maximum value of the expression (1)/(sin^(2)theta+3sinthetacosthet...

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  2. The positive integer value of n gt 3 satisfying the equation (1)/(sin(...

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  3. The number of values of theta in the interval (-pi/2,pi/2) such that t...

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  4. Let (x0, y0) be the solution of the following equations In (2x)^(In2)=...

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  5. Let P={theta:sintheta-costheta=sqrt2cos theta}and Q={theta:sintheta+c...

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  6. Let theta ,phi in [0,2pi] be such that 2 cos theta (1-sin phi)=sin^2 t...

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  7. The value of 6+log(3/2)(1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2)sq...

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  8. If 3^(x)=4^(x-1), then x=

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  9. For x in (0,pi) the equation sinx+2sin2x-sin3x=3 has

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  10. The number of distinct solutions of the equation 5/4cos^(2)2x + cos^4 ...

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  11. Let -1/6 < theta < -pi/12 Suppose alpha1 and beta1, are the root...

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  12. Let S={xepsilon(-pi,pi):x!=0,+pi/2}The sum of all distinct solutions ...

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  13. Q. The value of is equal sum(k=1)^13(1/(sin(pi/4+(k-1)pi/6)sin(pi/4+k ...

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  14. Let alphaa n dbeta be nonzero real numbers such that 2(cosbeta-cosalph...

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  15. The value of ((log(2)9)^(2))^((1)/(log(2)(log(2)9)))xx(sqrt(7))^((1)/...

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  16. If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC...

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  17. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

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  18. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

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  19. If A = sin^2x + cos^4 x, then for all real x :

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  20. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

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