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The set of real values of x for which ...

The set of real values of x for which
`(log_(x)2)(log_(x)2)(log_(2)4x) gt 1`, is

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`2^(-sqrt(2)) lt x lt 2^(-1), 1 lt x lt 2^(sqrt(2))`
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ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (S-1)
  1. Find the production of the positive roots of the equation sqrt2000(x)^...

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  2. Solve the inequality: log(1//2)(x+1) gt log(2)(2-x)

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  3. The set of real values of x for which (log(x)2)(log(x)2)(log(2)4x) ...

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  4. about to only mathematics

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  5. Prove that cos 2a=2sin^(2)beta+4cos (alpha+beta)sin alpha sin beta+cos...

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  6. Prove that: s in^4pi/8+s in^4(3pi)/8+s in^4(5pi)/8+s in^4(7pi)/8=3/2

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  7. If x=sin(theta+(7pi)/(12))+sin(theta+pi/(12))+sin(theta+(3pi)/(12))dot...

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  8. If tan.(pi)/(24)=(sqrt(p)-sqrt(q))(sqrt(r )-s), then the value of p+q+...

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  9. If m tan (theta - 30^(@))= n tan (theta + 120^(@)), show that cos 2 th...

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  10. It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie betwe...

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  11. If the value of the expression sin 25^@* sin 35^@* sin 85^@ can be exp...

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  12. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

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  13. Prove that 4cos(2pi)/7dotcospi/7-1=2cos(2pi)/7dot

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  14. Let P(k)=(1+cospi/(4k)) (1+cos((2k-1)pi)/(4k)) (1+cos((2k+1)pi)/(4k))...

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  15. Evaluate (2cos4 0^(@)-cos2 0^(@))/(sin2 0^(@)

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  16. Solve cos^6(pi/16)+cos^6((3pi)/16)+cos^6((5pi)/16)+cos^6((7pi)/16)

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  17. Given that (1+tan1^@)(1+tan2^@)...........(1+tan45^@)= 2^n find n .

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  18. Prove that from the equality (sin^(4)alpha)/a+(cos^(4)alpha)/b=1/(a+b)...

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  19. If a leq 3 cos (theta+pi/3)+5cos theta+3 leq b, find a and b, where ...

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  20. The value of (cotθ+cosecθ-1)/ (cotθ-cosecθ+1) is

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