Home
Class 14
MATHS
If tan^(2)alpha=1+2tan^(2)beta, then sqr...

If `tan^(2)alpha=1+2tan^(2)beta`, then `sqrt(2)cosalpha+cosbeta` is equal to (if `0ltalphalt90^(@)and90^(@)ltbetalt180^(@))`

A

0

B

`sqrt(2)`

C

1

D

`-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 tan(alpha+beta)=2andtan (alpha-beta)=1 , then tan(2alpha) is equal to

If 2tan""(alpha)/(2) = tan ""(beta)/(2) , then (3+5cosbeta)/(5+3cosbeta) is equal to :

If tan alpha=(m)/(m+1) and tan beta=(1)/(2m+1) then alpha+beta is equal to

If tan (alpha + beta) = 2 and tan (alpha - beta) = 1, then tan (2 alpha ) is equal to:

If sqrt(2)sin(60^(@)-alpha)=1,0^(@)ltalphalt90^(@) , then alpha is equal to :

If cosalpha+cosbeta=0=sinalpha+sinbeta , then cos2alpha+cos2beta=?

cot^(-1)((alpha)/(2))-tan^(-1)(sqrt(cosalpha))=x , then sin x is equal to

If alpha+beta=90^@ and alpha=2beta , then the value of 3cos^2alpha-2sin^2beta is equal to:

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. The minium value of 4tan^(2)theta+9cot^(2)theta is equal to

    Text Solution

    |

  2. If sin7x=cos11x, then the value of tan9x+cot9x is

    Text Solution

    |

  3. If tan^(2)alpha=1+2tan^(2)beta, then sqrt(2)cosalpha+cosbeta is equal ...

    Text Solution

    |

  4. If theta be acute angle and costheta=(15)/(17) , then the value of ...

    Text Solution

    |

  5. If sec^(2)theta+tan^(2)theta=(7)/(12), then sec^(4)theta-tan^(4)theta=...

    Text Solution

    |

  6. If 0lt xlt(pi)/(2)andsecx= "cosecy" then the value of sin(x+y) is :

    Text Solution

    |

  7. If A, B and C be the angles of a triangle, then which of the following...

    Text Solution

    |

  8. If sinalpha+cosbeta=2(o^(@)lebetaltalphale90^(@)) , then sin((2alpha...

    Text Solution

    |

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

    Text Solution

    |

  10. If sinalphasec(30^(@)+alpha)=1(0^(@)ltalphalt60^(@)), then find the va...

    Text Solution

    |

  11. If tantheta=1, then the value of (8sintheta+5cos theta)/(sin^(3)thet...

    Text Solution

    |

  12. If theta be a positive acute angle satisfying cos^(2)theta+cos^(4)...

    Text Solution

    |

  13. The simplified value of (SecA-cosA)^(2)+("cosec" A-sinA)^(2)-(cotA-t...

    Text Solution

    |

  14. If sintheta-costheta=(7)/(13)and0ltthetalt90^(@) , then the value of ...

    Text Solution

    |

  15. If 2costheta-sintheta=(1)/(sqrt(2)),(0^(@)ltthetalt90^(@))the value o...

    Text Solution

    |

  16. If sec^(2)theta+tan^(2)theta=7 , then the value of theta

    Text Solution

    |

  17. The simplified value of (secxsecy+tanxtany)^(2)-(secxtany+tanxsecy)^...

    Text Solution

    |

  18. If A=sin^(2)theta+cos^(4)theta, for any value of theta , then the ...

    Text Solution

    |

  19. ABC is a right angled triangle with angleA=90^(@) .Then the value...

    Text Solution

    |

  20. If tan2theta.tan4theta=1 , then the value of tan3theta is

    Text Solution

    |