Home
Class 14
MATHS
If alpha,beta and gamma are acute angled...

If `alpha,beta and gamma` are acute angled such that `sin alpha = sqrt3/2 cos beta = sqrt3/2and tan gamma = 1`, then what is `alpha+ beta + gamma` equal to ?

A

`105^@`

B

`120^@`

C

`135^@`

D

`150^@`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ARIHANT SSC|Exercise Higher Skill Level Questions|34 Videos
  • TRIGONOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 11.1|5 Videos
  • TRIGONOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL - 1)|35 Videos
  • TIME, SPEED AND DISTANCE

    ARIHANT SSC|Exercise SPEED TEST (TSD)|10 Videos
  • TRUE DISCOUNT AND BANKER'S DISCOUNT

    ARIHANT SSC|Exercise FAST TRACK PRACTICE|23 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta,gamma are acute angle such that cos alpha=tan beta,cos beta=tan gamma and cos gamma=tan alpha then

The angles alpha , beta , gamma of a triangle satisfy the equations 2 sin alpha + 3 cos beta = 3sqrt(2) and 3sin beta + 2cos alpha = 1 . Then angle gamma equals

If alpha,beta and gamma are angles such that tan alpha+tan beta+tan gamma=tan alpha tan beta tan gamma and x=cos alpha+i sin alpha,y=cos beta+i sin beta and z=cos gamma+i sin gamma then the value of xyz is

If each of alpha beta and gamma is a positive acute angle such that sin(alpha+beta-gamma)=(1)/(2)cos(beta+gamma-alpha)=(1)/(2) and tan(gamma+alpha-beta)=1 find the values of alpha,beta and gamma

If alpha+beta=(pi)/(2) and beta+gamma=alpha, then tan alpha equals

If alpha+beta=(pi)/(2) and beta+gamma=alpha then tan alpha equals

ARIHANT SSC-TRIGONOMETRY-Exercise Base Level Questions
  1. If triangle ABC is right angled at C, then what is cos(A+B)+sin(A+B) e...

    Text Solution

    |

  2. If alpha,beta and gamma are acute angled such that sin alpha = sqrt3/2...

    Text Solution

    |

  3. If tan theta = 3//4 and theta is acute, then what is the value of sint...

    Text Solution

    |

  4. If sin theta = (a^2 - 1)/(a^2 + 1), then the value of sectheta + tanth...

    Text Solution

    |

  5. If alpha + beta = 90^@ and alpha: beta = 2: 1, then the value of sin a...

    Text Solution

    |

  6. If (sec theta + tan theta)/(sec theta - tan theta) = 5/3, then sin the...

    Text Solution

    |

  7. If sin theta + cos theta=1, what is the value of sin theta cos theta?

    Text Solution

    |

  8. If sin theta + cosec theta = 2, then the value of sin^7theta + cosec^7...

    Text Solution

    |

  9. If tan theta = 3//4 and theta acute, then cosec theta is equal to

    Text Solution

    |

  10. The value of (1/((1 + tan^2 theta)) + 1/((1 + cot^2 theta))) is

    Text Solution

    |

  11. The minimum value of sin^2 theta + cos^4 theta is

    Text Solution

    |

  12. If sec theta + tan theta= p, then costheta is

    Text Solution

    |

  13. If tan 62^@ = P/Q, then tan 28^@ is equal to

    Text Solution

    |

  14. If sec theta + tan theta =2, what is the value of sec theta ?

    Text Solution

    |

  15. What is sin25^@ sin35^@sec 65^@sec 55^@ equal to ?

    Text Solution

    |

  16. Consider the following I. sin^2 1^@+ cos^2 1^@ =1 II. sec^2 33^@ ...

    Text Solution

    |

  17. If p = a sin x +b cos x and q = a cos x - b sin x, then what is the va...

    Text Solution

    |

  18. What is the value of sec(90^(@)-theta). sintheta sec 45^(@)?

    Text Solution

    |

  19. If tan theta = 4/3,then the value of (3 sin theta + 2cos theta)/(3 sin...

    Text Solution

    |

  20. If sec theta - cosec theta = 0,then the value of tan theta + cot theta...

    Text Solution

    |