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The number of distinct solution of the e...

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

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RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. If 3^(x) = 4^(x-1) , then x = a. (2 log(3) 2)/(2log(3) 2-1) b. 2...

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

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

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

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  5. Let S={x in (-pi, pi) : x ne 0, pm pi/2}. The sum of all distinct solu...

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  6. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

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  7. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

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  8. The value of ((log(2)9)^(2))^(1/(log(2)(log(2)9)))xx(sqrt7)^(1/(log(4...

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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. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

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

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  12. If A=sin^(2)x+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 Delta PQR , if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1, th...

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  15. Let A and B be two sets containing 2 elements and 4 elements, respecti...

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  16. The expression (tan A)/(1-cotA)+(cot A)/(1-tan A) can be written as

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  17. If X={4^(n)-3n-1:ninN}andy={9(n-1):ninN}, then X uu Y equals

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  18. Let fk(x)=1/k(sin^kx+cos^kx)" where "x in R and kge1. " Then "f4(x) -f...

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  19. Let A and B be two sets containing 2 elements and 4 elements, respecti...

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  20. If the anlges of elevation of the top of a tower from three collinear ...

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