Home
Class 10
MATHS
If cos e ctheta-sintheta=m and secthet...

If `cos e ctheta-sintheta=m` and ` sectheta-costheta=n ,` prove that `(m^(2)n)^(2/3)+(m n^2)^(2/3)=1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

  • TRIGONOMETRIC RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

If cos e ctheta-sintheta=l and sectheta-costheta=m , prove that l^2m^2(l^2+m^2+3)=1

If cosectheta-sintheta=m" and " sectheta-costheta=n , elimnate theta .

If cosectheta-sintheta=m a n d sectheta-costheta=n ,"eliminate"theta

If cos e c\ theta+cottheta=m and cos e c\ theta-cottheta=n , prove that m n=1

If cos e ctheta-sintheta=a^3,sectheta-costheta=b^3, Prove that : a^2b^2(a^2+b^2)=1

If cosectheta-sintheta=a^3, sectheta-costheta=b^3 , then prove that a^2b^2(a^2+b^2)=1

If tantheta+sintheta=m and tantheta-sintheta=n , then prove that: m^(2)-n^(2)=4sqrt(mn)

If acos^3theta+3acosthetasin^2theta=m and asin^3theta+3acos^2thetasintheta=n , then prove that: (m+n)^(2//3)+(m-n)^(2//3)=2a^(2//3)

If tantheta+sintheta=m and tantheta-sintheta=n , show that m^2-n^2= 4sqrt(n m)

If t a ntheta+sintheta=m and tantheta-sintheta=n , show m^(2)-n^2=4sqrt(m ndot)

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the following identities: (sin^2A)/(cos^2A)+(cos^2A)/(sin^2A)=1/...

    Text Solution

    |

  2. If xsin^3theta+ycos^3theta=sinthetacosthetaa n dxsintheta=ycostheta, ...

    Text Solution

    |

  3. If cos e ctheta-sintheta=m and sectheta-costheta=n , prove that (m^...

    Text Solution

    |

  4. Prove the following identities: (cosA)/(1-tanA)+(sin^2A)/(sinA-cosA)=...

    Text Solution

    |

  5. Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(co...

    Text Solution

    |

  6. Prove the following identities: (cos^2theta)/(1-tantheta)+(sin^3theta...

    Text Solution

    |

  7. Prove the following identities: (sin^3theta+cos^3theta)/(sintheta+c...

    Text Solution

    |

  8. Prove the following trigonometric identities: (tantheta+sintheta)...

    Text Solution

    |

  9. Prove the following identities: (cosA)/(1-tanA)+(sinA)/(1-cotA)=cos...

    Text Solution

    |

  10. Prove the following identities: (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+t...

    Text Solution

    |

  11. Prove the following trigonometric identities: cottheta-tantheta=(2cos...

    Text Solution

    |

  12. Prove the following trigonometric identities: tantheta-cottheta=(2sin...

    Text Solution

    |

  13. Prove the following identities: tan^2theta+cot^2theta+2=sec^2thet...

    Text Solution

    |

  14. Prove the following identities: sqrt(sec^2theta+cos e c^2theta)=t...

    Text Solution

    |

  15. Prove the following identities: (sintheta+sectheta)^2+(costheta+cos e...

    Text Solution

    |

  16. Prove the following identities: (cos e ctheta-cottheta)^2=(1-costheta...

    Text Solution

    |

  17. Prove the following identities: sec^4A-sec^2A=tan^4A+tan^2A

    Text Solution

    |

  18. Prove the following identity: 2sec^2theta-sec^4theta-2cosec^2theta+co...

    Text Solution

    |

  19. Prove the following identities: (sintheta-sectheta)^2+(costheta-cos e...

    Text Solution

    |

  20. (sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2cosectheta

    Text Solution

    |