Home
Class 11
MATHS
If A=cos^2theta+sin^4theta, prove that ...

If `A=cos^2theta+sin^4theta,` prove that `3/4lt=Alt=1` for all values of `thetadot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Prove that: |costhetacos(60^0-theta)cos(60^0+theta)lt=1/4 for all values of thetadot

If A = sin^2 theta+ cos^4 theta , then for all real values of theta

If sintheta+sin^2theta=1 , prove that cos^2theta+cos^4theta=1

If cos2theta=sin4theta , where 2theta and 4theta are acute angles, find the value of theta .

If x=cos^2theta+sin^4theta then for all real values of theta

Prove that: |sintheta."sin"(60-theta).sin(60+theta)|lt=1/4 for all values of theta .

If sintheta+sin^2theta+sin^3theta=1, then prove that cos^6theta-4cos^4theta+8cos^2theta=4

If sin theta =sqrt(3) cos theta, -pi lt theta lt 0 , then the value of theta is

If sin theta_1 + sintheta_2 + sin theta_3 = 3 then find the value of cos theta_1 + cos theta_2 + cos theta_3.

sin 5 theta = cos 2 theta , 0^(@) lt theta lt 180^(@). Find value of theta

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If (cos^4alpha)/(cos^2beta)+(sin^4alpha)/(sin^2beta)=1 prove that (i...

    Text Solution

    |

  2. If x is any non-zero real number, show that costheta' a n d ' sinthet...

    Text Solution

    |

  3. If A=cos^2theta+sin^4theta, prove that 3/4lt=Alt=1 for all values of...

    Text Solution

    |

  4. If tantheta+sectheta=e^x then costheta equals

    Text Solution

    |

  5. Prove that:sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta .

    Text Solution

    |

  6. Prove the following identities: sin^8theta-cos^8theta=(sin^2theta-cos^...

    Text Solution

    |

  7. Prove the following identities: cot^4theta+cot^2theta=cos e c^4theta-"...

    Text Solution

    |

  8. Prove the following identities: 2sec^2theta-sec^4theta-2cos e c^2theta...

    Text Solution

    |

  9. Prove the following identities: (sintheta+cos e ctheta)^2+(costheta+s...

    Text Solution

    |

  10. Prove the following identity: (1+cottheta-cos e ctheta)(1+t a ntheta+s...

    Text Solution

    |

  11. Prove the following identity: (t a ntheta+s e ctheta-1)/(t a ntheta-s ...

    Text Solution

    |

  12. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

    Text Solution

    |

  13. If acostheta+b sintheta=x and asintheta-bcostheta=y prove that a^2+...

    Text Solution

    |

  14. If tan theta +sin theta =m and tan theta -sin theta =n then prove m^2-...

    Text Solution

    |

  15. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

    Text Solution

    |

  16. Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

    Text Solution

    |

  17. Prove the following identity: (cosectheta-sintheta)(s e ctheta-costhet...

    Text Solution

    |

  18. Prove the following identity: cos e c\ theta(s e ctheta-1)-cottheta(1-...

    Text Solution

    |

  19. Prove the following identity: (1-sin AcosA)/(cos A(s e c A-cosec A))do...

    Text Solution

    |

  20. Prove the following identity: (t a n A)/(1-cot A)+(cot A)/(1-t a n A)=...

    Text Solution

    |