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The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is

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RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. If 3^(x)=4^(x-1), then x=

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

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

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

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

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

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

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

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

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

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

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

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  14. In a DeltaPQR. if 3 sinP +4 cosQ=6 and 4sinQ+3cosP=1, then the angle R...

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  15. If A and B two sets containing 2 elements and 4 elements, respectively...

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  16. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as :

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  17. If X""=""{4^n-3n-1"":""n in N}""a n d""Y""=""{9(n-1)"": n in N} , wh...

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  18. Let fK(x)""=1/k(s in^k x+cos^k x) where x in R and kgeq1 . Then f4(x)...

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  19. Let A and B be too sets containing four and two elements respectively ...

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  20. If the angles of elevation of the top of tower from three collinear po...

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