Home
Class 11
MATHS
Let us consider the equation cos^4x/a+si...

Let us consider the equation `cos^4x/a+sin^4x/b=1/(a+b),x in[0,pi/2],a,bgt0`
the value of `sin^8x/b^3+cos^8x/a^3` is

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

Let us consider the equation cos^4x/a+sin^4x/b=1/(a+b),x in[0,pi/2],a,bgt0 The value of sin^2x in terms of a and b is

Number of roots of the equation (3+cos"x")^2=4-2sin^8x ,x in [0,5pi]a r e _________

Number of roots of the equation (3+cos"x")^2=4-2sin^8x ,x in [0,5pi]a r e _________

Solve the equation sin^4x+cos^4x-2sin^2x+(3sin^2 2x)/4=0

Solve the equation sin^3x.cos3x+cos^3x.sin3x+3/8=0

The number of solutions of the equation (3+cos x)^(2)=4-2sin^(8)x" in "[0, 9pi) is equal to

Evaluate: int(sin^4x)/(cos^8x)\ dx

The total number of solution of the equation sin^4 x +cos^4 x = sin x cos x in [0,2pi] is :

Let the solution set of the inequation n(sinx-1/2)(sinx-1/(sqrt(2)))lt=0 in [pi/2,pi] be A and let solution set of equation sin^-1(3x-4x^3)=3sin^-1x be B. Now define a function f:A->B.

Let the solution set of the inequation n(sinx-1/2)(sinx-1/(sqrt(2)))lt=0 in [pi/2,pi] be A and let solution set of equation sin^-1(3x-4x^3)=3sin^-1x be B. Now define a function f:A->B.

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If H is the othrocenter of an acute angled triangle ABC whose circumci...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. In Triangle A B C with fixed length of B C , the internal bisector of...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for -5/2lt=alphal...

    Text Solution

    |

  10. In triangle A B C , if r1=2r2=3r3, then a : b is equal to 5/4 (b) 4/5...

    Text Solution

    |

  11. If cosalpha=1/2(x+1/x)a n dcosbeta=1/2(y+1/y),(x y >0); x , y ,alpha,b...

    Text Solution

    |

  12. In triangle A B C ,(sinA+sinB+sinC)/(sinA+sinB-sinC) is equal to

    Text Solution

    |

  13. The radii r1,r2,r3 of enscribed circles of triangle ABC are in HP . If...

    Text Solution

    |

  14. Let alphaa n dbeta be any two positive values of x for which 2cosx ,|c...

    Text Solution

    |

  15. If (y+3)/(2y+5)=sin^2x+2cosx+1, then the value of y lies in the interv...

    Text Solution

    |

  16. If alpha+beta+gamma=2pi, then (a) tan(alpha/2)+tan(beta/2)+tan(gamma...

    Text Solution

    |

  17. The total number of solution of |cotx|=cotx+1/(sinx),x in [0,3pi] , is...

    Text Solution

    |

  18. The value of f(alpha)=sqrt(cos e c^2alpha-2cotalpha)+sqrt(cos e c^2alp...

    Text Solution

    |

  19. If I is the incenter of a triangle ABC, then the ratio I A : I B : I C...

    Text Solution

    |

  20. If asinx+bcos(x+theta)+bcos(x-theta)=d , then the minimum value of |c...

    Text Solution

    |