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(x^(n)+((pi)/(3))^(n))/(x^(n+)+((pi)/(3)...

(x^(n)+((pi)/(3))^(n))/(x^(n+)+((pi)/(3))^(n+))

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f(x)=(x^(n)+((pi)/(3))^(n))/(x^(n-1)+((pi)/(3))^(n-1)),(n is an even number then which of the following is correct

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If x_(n)=cos((pi)/(4^(n)))+i sin ((pi)/(4^(n))) , then x_(1), x_(2), x_(3)....oo is equal to

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If 4cos x sin x*2sin x = 3sin x, then x = (i) n pi+(-1)^(n) (pi)/(10) (ii) n pi-(-1)^(n) ( pi)/(10) (iii) 2n pi+-(pi)/(10) (iv) n pi+(pi)/(10)

The solutions of the equation 1+(sin x-cos x)sin(pi)/(4)=2cos^(2)(5x)/(2) is/are x=(n pi)/(3)+(pi)/(8),n in Zx=(n pi)/(2)+(5 pi)/(16),n in Zx=(n pi)/(3)+(pi)/(4),n in Zx=(n pi)/(2)+(5 pi)/(8),n in Z

The general solution of the equation sin x-3sin2x+sin3x=cos x-3cos2x+cos3x is (n in Z)n pi+(pi)/(8)(b)(n pi)/(2)+(pi)/(8)(-1)^(n)(n pi)/(2)+(pi)/(8) (d) 2n pi+(cos^(-1)2)/(3)