Home
Class 10
MATHS
IF alpha+beta=pi/2 and gamma+beta=alpha ...

IF `alpha+beta=pi/2` and `gamma+beta=alpha` then find tan `alpha`.

A

`2 tan beta`

B

`2 tan gamma+tan beta`

C

`2 tan alpha`

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|435 Videos

Similar Questions

Explore conceptually related problems

Statement-I : If f(theta)=(cot theta)/(1+cot theta) and alpha+ beta=(5pi)/(4) then f(alpha) f(beta)=(1)/(2) Statement-II : If alpha+ beta=(pi)/(2) and beta+ gamma= alpha then tan alpha= tan beta+ 2tan gamm Statement-III sin^(2) alpha+ cos^(2) (alpha+ beta)+2 sin alpha beta cos (alpha+beta) is independent of alpha only

If alpha , beta , gamma are the roots of the equation x^3 +px^2 + qx +r=0 then the coefficient of x in cubic equation whose roots are alpha ( beta + gamma ) , beta ( gamma + alpha) and gamma ( alpha + beta) is

If alpha + beta + gamma = 2pi , then

If 0 lt alpha , beta lt pi//4, cos ( alpha + beta )=4//5 , sin (alpha - beta) =5//13 " then " tan 2alpha =

Let alpha,beta and gamma be such that 0 lt alpha lt beta lt gamma lt 2pi for any x in R if cos (x+alpha)+cos(x + beta)+cos(x+gamma)=0 then tan(gamma-alpha) =

VGS PUBLICATION-BRILLIANT-TRIGONOMETRY (MULTIPLE CHOICE QUESTION)-TRIGONOMETRY (MULTIPLE CHOICE QUESTION)
  1. cos100^@.cos40^@+sin100^@.sin40^@=……..

    Text Solution

    |

  2. IF tan theta+cot theta=x, sec theta-cos theta=y then eliminate 'theta'...

    Text Solution

    |

  3. The angles of a Quadrilateral are in A.P. Greatest angle is double the...

    Text Solution

    |

  4. IF sin(A-B)=3/5 and sin(A+B)=4/5 then find sin2A=……..

    Text Solution

    |

  5. IF 5sinx+12cosx=7 then find 5cosx-12sinx=……..

    Text Solution

    |

  6. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

    Text Solution

    |

  7. Find the condition that sec^2theta=(4xy)/((x+y)^2) is true.

    Text Solution

    |

  8. Solve: tan^2theta+sec2theta=1,0^@lethetale90^@

    Text Solution

    |

  9. In any Delta^(l e) ABC then cot""A/2+cot"+"B/2""cot""C/2=..........

    Text Solution

    |

  10. Given alpha+beta+gamma=pi then sin^2alpha+sin^2beta-sin^2gamma is equa...

    Text Solution

    |

  11. IF alpha+beta=pi/2 and gamma+beta=alpha then find tan alpha.

    Text Solution

    |

  12. Find the value of the expression sqrt3 cosec 20^@-sec20^@=…….

    Text Solution

    |

  13. IF x^2+y^2=1 and P=(3x-4x^3)^2+(3y-4y^3)^2 then find 'P'.

    Text Solution

    |

  14. IF tan^2 theta=2 tan^2 phi +1 then find the value of cos 2 theta+sin^2...

    Text Solution

    |

  15. IF y=(tan(pi/4+theta)+tan(pi/4-theta))/(tan(pi/4+theta)-tan(pi/4-theta...

    Text Solution

    |

  16. From a ship mast-head 150m.high, the angle of depression of a boat is ...

    Text Solution

    |

  17. From a point 30 mts from the foot of a tower, the angle of elevation o...

    Text Solution

    |

  18. An electrician wants to repair an electric connection on a pole of hei...

    Text Solution

    |

  19. A T.V. tower stands vertically on the side of a road. From a point on ...

    Text Solution

    |

  20. From the top of a building, the angle of elevation of the top of a cel...

    Text Solution

    |