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If y=(sin^4x-cos^4x+sin^2xcos^2x)/(sin^4...

If `y=(sin^4x-cos^4x+sin^2xcos^2x)/(sin^4x+cos^4x+sin^2xcos^2x),x in (0,pi/2)` , then (a)`-3/2lt=ylt=1/2` (b) `1lt=ylt=1/2` (c)`-5/3lt=ylt=1` (d) none of these

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. For each natural number ngt=2, prove that sinx1cosx2+sinx2cosx3+...+si...

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  2. The values of x1 between 0 and 2pi , satisfying the equation cos3x+c...

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  3. If y=(sin^4x-cos^4x+sin^2xcos^2x)/(sin^4x+cos^4x+sin^2xcos^2x),x in (0...

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  4. In an acute angled triangle A B C ,r+r1=r2+r3a n d/B >pi/3, then (a) b...

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  5. If un=sin^("n")theta+cos^ntheta, then prove that (u5-u7)/(u3-u5)=(u3)/...

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  6. If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x...

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  7. The general solution of the equation sin^(100)x-cos^(100)x=1 is

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  8. If in triangle A B C ,sumsin(A/2)=6/5a n dsumI I1=9 (where I1,I2 a n d...

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  9. Prove that in A B C ,tanA+tanB+tanCgeq3sqrt(3,) where A , B , C are...

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  10. In triangle A B C ,/A=60^0,/B=40^0,a n d/C=80^0dot If P is the center ...

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  11. If cos3x+sin(2x-(7pi)/6)=-2 , then show that x is of the form π / 3(6...

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  12. Prove that sin2A + sin2B + sin2C = 4sinA · sinB · sin C

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  13. If H is the othrocenter of an acute angled triangle ABC whose circumci...

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  14. The number of solutions of the equation 1+cosx+cos2x+sinx+sin2x+sin3x=...

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  15. Let us consider the equation cos^4x/a+sin^4x/b=1/(a+b),x in[0,pi/2],a,...

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  16. If tanA=(1-cosB)/(sinB) , then tan2A=tanBdot

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  17. The total number of solution of cosx=sqrt(1-sin2x) in [0,2pi] is equal...

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  18. The maximum value of x^4ehat-x^2 is e^2 (b) e^(-2) (c) 12 e^(-2) (d...

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  19. Four numbers n1,n2,n3a n dn4 are given as n1=sin15^0-cos15^0,n2=cos93^...

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  20. If sin^3xcos3x+cos^3xsin3x=3/8, then the value of 8sin4x is

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