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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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VMC MODULES ENGLISH-TRIGONOMETRIC IDENTITIES AND EQUATIONS -JEE Main (Archive)
  1. Let alphaa n dbeta be nonzero real numbers such that 2(cosbeta-cosalph...

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  2. Let f: (-1, 1) to R be such that f(cos 4theta) = (2)/(2-sec^(2)theta) ...

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  3. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

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  4. Let varphi,phi in [0,2pi] be such that 2costheta(1-sinphi)=sin^2theta(...

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  5. The number of all possible values of theta, where 0 lt theta lt pi, fo...

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

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  7. The positive integer value of n >3 satisfying the equation 1/(sin(pi/n...

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

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

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

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  11. If (sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5, then

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  12. about to only mathematics

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  13. The number of ordered pairs (alpha, beta) ,where alpha, beta in (-pi, ...

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  14. If 5 (tan ^(2) x - cos ^(2) x ) = 2 cos 2x +9, then the value of cos 4...

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  15. Let F(k)(x)=1/k (sin^(k)x+cos^(k)x), where x in R and k ge 1, then fin...

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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. 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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  18. If A=sin^(2)x+cos^(4)x, then for all real x

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  19. Let cos(alpha + beta) = 4//5 and let sin ( alpha - beta)= 5//13, wher...

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  20. Let A and B denote the statements A : cos alpha + cos beta + cos gam...

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