Home
Class 14
MATHS
If sintheta+costheta=sqrt(2)costheta , t...

If `sintheta+costheta=sqrt(2)costheta` , then the value of `cottheta` is

A

`sqrt(2)+1`

B

`sqrt(2)-1`

C

`sqrt(3)-1`

D

`sqrt(3)+1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -III|90 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

If costheta-sintheta=sqrt(2)costheta , then find the value of costheta+sintheta .

If costheta+sintheta=sqrt(2)costheta ,then find the value of (costheta-sintheta)/(sintheta) .

If sintheta+costheta=sqrt(2) , then find the value of sintheta-costheta .

If (2sintheta-costheta)/(costheta+sintheta)=1 , then value of cottheta is :

sqrt(3)sintheta-costheta=sqrt(2)

If (costheta+sintheta)/(costheta-sintheta)=8 then the value of cot theta is equal to:

If sintheta+costheta=sqrt(2)sintheta , then sintheta-costheta=?

sintheta+costheta=(sqrt(3)+1)/(2)

If sintheta+costheta=sqrt(2)sin(90^(@)-theta) , then cottheta=?

If sin theta+costheta=sqrt(2)costheta then what is (costheta-sintheta) equal to ?

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. If theta is a positive acute angle and "cosec"theta+cottheta=sqrt...

    Text Solution

    |

  2. If cos alpha+secalpha = (sqrt(3)) then the value of cos^...

    Text Solution

    |

  3. If sintheta+costheta=sqrt(2)costheta , then the value of cottheta i...

    Text Solution

    |

  4. If cos^(4)theta-sin^(4)theta=(2)/(3), then the value of 1-2sin^(2)thet...

    Text Solution

    |

  5. If sintheta+costheta=pandsectheta+"coses " theta=q, then the value of...

    Text Solution

    |

  6. If sin(60^(@)-x)=cos(y+60^(@)) then the value of sin(x-y) is

    Text Solution

    |

  7. If costheta=(35)/(37) then what is the value of cottheta ?

    Text Solution

    |

  8. a, b, c are the lengths of three sides of a DeltaABC. If a, b, c are r...

    Text Solution

    |

  9. If asintheta+bcostheta=c , then acostheta-b sintheta is equal to

    Text Solution

    |

  10. If sintheta+costheta=sqrt(2)sin(90^(@)-theta), then cottheta=?

    Text Solution

    |

  11. If theta is a positive acute angle and 3(sec^(2)theta+tan^(2)the...

    Text Solution

    |

  12. xcos^(2)30^(@).sin60^(@)=(tan^(2)45^(@).sec60^(@))/("cosec" 60^(@)) t...

    Text Solution

    |

  13. tanalpha=2 , then the value of ("cosec"^(2)alpha-sec^(2)alpha)/("cos...

    Text Solution

    |

  14. If sin(theta+30^@)=3/sqrt12, then the value of theta is equal to: यद...

    Text Solution

    |

  15. lethetale90^(@)and4cos^(2)theta-4sqrt(3)costheta+3=0 then the value ...

    Text Solution

    |

  16. tan(5x-10^(2))=cot(5y+20^(@)) then value of (x+y) is

    Text Solution

    |

  17. sec(4x-50^(@))="cosec"(50^(@)-x) then the value of x is

    Text Solution

    |

  18. The value of (1+sec20^(@)+cot70^(@))(1-"cosec"20^(@)+tan70^(@)) is...

    Text Solution

    |

  19. Prove that (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA).

    Text Solution

    |

  20. If alpha is a positive acute angle and 2sin alpha+15cos^(2)alpha=7, th...

    Text Solution

    |