Home
Class 10
MATHS
If cottheta=3/4 , prove that sqrt((se...

If `cottheta=3/4` , prove that `sqrt((sectheta-cos e c\ theta)/(sectheta+cos e c\ theta))=1/(sqrt(7))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

Solve: cottheta +cos e ctheta=sqrt(3)

Solve: cottheta +cos e ctheta=sqrt(3)

Prove: tantheta+1/(tantheta)=sectheta\ cos e c\ theta

Prove that: sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(sectheta-1))=2\ cos e c\ theta

If sintheta=3/4 , prove that sqrt((cos e c^2theta-cot^2theta)/(sec^2theta-1))=(sqrt(7))/3

Prove: 1+(cot^2theta)/(1+cos e c\ theta)=cos e c\ theta

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

Prove that: s e c^2theta+cos e c^2thetageq4 .

Prove: (costheta)/(cos e c\ theta+1)+(costheta)/(cos e c\ theta-1)=2tantheta

Prove: (sintheta)/(1-costheta)=cos e c\ theta+cottheta

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. If sintheta=3/4 , prove that sqrt((cos e c^2theta-cot^2theta)/(sec^...

    Text Solution

    |

  2. If secA=(17)/8 , verify that (3-4sin^2A)/(4cos^2A-3)=(3-tan^2A)/(1-...

    Text Solution

    |

  3. If cottheta=3/4 , prove that sqrt((sectheta-cos e c\ theta)/(secthe...

    Text Solution

    |

  4. If tantheta=(24)/7 , find sintheta+costheta.

    Text Solution

    |

  5. If sintheta=a/b , find sectheta+tantheta in terms of a and b .

    Text Solution

    |

  6. If 8tanA=15 , find sinA-cosA

    Text Solution

    |

  7. If 3costheta-4sintheta=2costheta+sintheta , find tantheta .

    Text Solution

    |

  8. If tantheta=(20)/(21) , show that (1-sintheta+costheta)/(1+sintheta...

    Text Solution

    |

  9. If cos e c\ A=2 , find the value of 1/(tanA)+(sinA)/(1+cosA)

    Text Solution

    |

  10. If /A and /B are acute angles such that cos A=cos B . then show tha...

    Text Solution

    |

  11. If angleA and angleP are acute angle such that tanA=tanP, then show th...

    Text Solution

    |

  12. In a /\A B C , right angled at A , if tanC=sqrt(3) , find the valu...

    Text Solution

    |

  13. State whether the following are true or false. Justify your answer. ...

    Text Solution

    |

  14. State whether the following are true or false. Justify your answer. ...

    Text Solution

    |

  15. Evaluate each of the following in the simplest form: sin60ocos30o+co...

    Text Solution

    |

  16. Evaluate the following expressions: (i) 2sin^2 30^otan60^o-3cos^2 60...

    Text Solution

    |

  17. Evaluate the following expressions: (i) 4cot^2 45o-sec^2 60^o + sin^...

    Text Solution

    |

  18. Evaluate each of the following: (sin^2 45^o + cos^2 45^o)/(tan^2 60^...

    Text Solution

    |

  19. Evaluate each of the following: (sin60^o)/(cos^2 45^o)-cot30^o + 15c...

    Text Solution

    |

  20. Show that: 2(cos^2 45°+tan^2 60°)-6(sin^2 45°-tan^2 30°)=6 (ii) 2(...

    Text Solution

    |