Home
Class 10
MATHS
Prove that sqrt((1+costheta)/(1-costheta...

Prove that `sqrt((1+costheta)/(1-costheta))+sqrt((1-costheta)/(1+costheta))=2cosectheta`

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

(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

Prove that: sqrt((1-sintheta)/(1+s intheta))+sqrt((1+sintheta)/(1-s intheta)=){2/(costheta),if0lt=theta

Prove that: sqrt(1-sintheta)/(1+s intheta)+sqrt((1+sintheta)/(1-s intheta)=){2/(costheta),if0lt=theta

Prove that : sqrt((1+costheta)/(1-costheta))="cosec"theta+cottheta

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

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

Prove that sqrt(1-sin^(2)theta)=costheta .

Prove: (costheta)/(1-sintheta)=(1+sintheta)/(costheta)

Prove: (costheta)/(1+sintheta)=(1-sintheta)/(costheta)

Prove that : (sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2"cosec"theta

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove that: sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(secthet...

    Text Solution

    |

  2. Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sinthe...

    Text Solution

    |

  3. Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-costheta)/(1+costhe...

    Text Solution

    |

  4. Prove that: (sectheta-1)/(sectheta+1)=((sintheta)/(1+costheta))^2

    Text Solution

    |

  5. Given that: (1+cosalpha)(1+cosbeta)(1+cosgamma)=(1-cosalpha)(1-cosbeta...

    Text Solution

    |

  6. If x=asecthetacosvarphi,\ \ y=bsecthetasinvarphi and z=ctantheta , sho...

    Text Solution

    |

  7. If sintheta=3/5 , find the values of other trigonometric ratios.

    Text Solution

    |

  8. If cottheta=9/(40) , find the values of cos e c\ theta and sectheta...

    Text Solution

    |

  9. If costheta=1/2 , find the value of (2sectheta)/(1+tan^2theta)

    Text Solution

    |

  10. If tantheta=(12)/5 , find the value of (1+sintheta)/(1-sintheta)

    Text Solution

    |

  11. If sintheta=3/5 , find the value of (tantheta+sectheta)^2

    Text Solution

    |

  12. If tantheta=3/4 , find the value of (1-costheta)/(1+costheta)

    Text Solution

    |

  13. If costheta=3/5 , find the value of cottheta+cos e c\ theta .

    Text Solution

    |

  14. If sintheta+costheta=sqrt(2)sin(90^@-theta) , determine cottheta .

    Text Solution

    |

  15. If tantheta=1/(sqrt(7)) , find the value of (cos e c^2theta-sec^2th...

    Text Solution

    |

  16. If tantheta+cottheta=2 , find the value of tan^2theta+cot^2theta .

    Text Solution

    |

  17. If cos e c\ A=sqrt(2) , find the value of (2sin^2A+3cot^2A)/(4tan^2...

    Text Solution

    |

  18. If sintheta=a/ (sqrt(a^2+b^2)),0< theta<90^@ , find the values of co...

    Text Solution

    |

  19. If costheta=4/5 , find all other trigonometric ratios of angle thet...

    Text Solution

    |

  20. If sintheta=1/(sqrt(2)) , find all other trigonometric ratios of an...

    Text Solution

    |