Home
Class 11
MATHS
It (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1...

It `(cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1` then show that `(cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If (cos^4x)/(cos^2y)+(sin^4x)/(sin^2y)=1,"show taht", (cos^4y)/(cos^2x)+(sin^4y)/(sin^2x)=1

If cos^4x/cos^2y+sin^4x/sin^2y=1 ,show that cos^4y/cos^2x+sin^4y/sin^2x=1

If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)alpha)/(sin^(2)beta)=1, then provet that (cos^(4)beta)/(cos^(2)alpha)+(sin^(4)beta)/(sin^(2)alpha)=1.

Show that 3(sin^4x+cos^4x)-2(sin^6x+cos^6x)=1 .

If sin theta+sin^2theta=1 , show that cos^4theta+cos^2theta=1 .

If 2 cos A = (sin B)/(sin C) then show that the triangle is isosceles.

If (sin A)/3 = (sin B)/3 = (sin C)/4 , then prove that, cos C=1/9 .

If (sin^4alpha)/(a)+(cos^4alpha)/(b)=1/(a+b) show that, (sin^8alpha)/(a^3)+(cos^8alpha)/(b^3)=1/(a+b)^3

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of solution of the pair of equations 2sin^2theta-cos2theta=...

    Text Solution

    |

  2. The rational number which equals the number 2. 357 with recurring de...

    Text Solution

    |

  3. It (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then show that (cos^4B)/(cos^...

    Text Solution

    |

  4. Prove that r1+r2+r3-r=4R

    Text Solution

    |

  5. Number of solution of equation 2sinx/2cos^2x-2sinx/2sin^2x=cos^2x-sin^...

    Text Solution

    |

  6. If cot(theta-alpha),3cottheta,"cot"(theta+alpha) are in A.P. and theta...

    Text Solution

    |

  7. If x=sectheta-tantheta and y=cos e ctheta+cottheta, then prove that x ...

    Text Solution

    |

  8. If A >0,B >0 and A+B=pi/3, the maximum value of tanAtanB is

    Text Solution

    |

  9. prove that cosA +cosB+cosC=1+r/R.

    Text Solution

    |

  10. denote the positive solution of the equation 3+3costheta=2sin^2thetado...

    Text Solution

    |

  11. If (sec^4theta)/a+(tan^4theta)/b=1/(a+b), then prove that |b|lt=|a| .

    Text Solution

    |

  12. Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={...

    Text Solution

    |

  13. Prove that ("a c o s"A+b cosB+c cosC)/(a+b+c)=r/Rdot

    Text Solution

    |

  14. Find the number of solution of the equation 1+e^(cot^2x)=sqrt(2|sinx|-...

    Text Solution

    |

  15. If a^2+b^2+2a bcostheta=1,c^2+d^2+2c dcostheta=1 and a c+b d+(a d+b c)...

    Text Solution

    |

  16. If r1 =r2+r3+r, prove that the triangle is right angled.

    Text Solution

    |

  17. Find the number of solution of theta in [0,2pi] satisfying the equati...

    Text Solution

    |

  18. Prove that (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2((alpha-bet...

    Text Solution

    |

  19. Let A=sinx+cosxdot Then find the value of sin^4x+cos^4x in terms of Ad...

    Text Solution

    |

  20. ABC is an acute angled triangle with circumcenter O and orthocentre H....

    Text Solution

    |