Home
Class 12
MATHS
If cosx-sinalphacotbetasinx=cosa , then ...

If `cosx-sinalphacotbetasinx=cosa ,` then the value of `tan(x/2)` is `-tan(alpha/2)cot(beta/2)` (b) `tan(alpha/2)tan(beta/2)` `-cot((alphabeta)/2)tan(beta/2)` (d) `cot(alpha/2)cot(beta/2)`

A

`cot. (alpha)/(2) tan. (beta)/(2)`

B

`cot. (beta)/(2) tan. (alpha)/(2)`

C

`tan. (alpha)/(2) tan. (beta)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If cos x -sin alpha cot beta sin x=cos alpha then the value of tan x/2 is

If cos x-sin alpha cot beta sin x=cos a, then the value of tan((x)/(2)) is (a)-tan((alpha)/(2))cot((beta)/(2)) (b) tan((alpha)/(2))tan((beta)/(2))(c)-cot((alpha beta)/(2))tan((beta)/(2))(d)cot((alpha)/(2))cot((beta)/(2))

If 3sin alpha=5sin beta then the value of tan((alpha+beta)/(2))tan((alpha-beta)/(2))

If 3sin alpha = sin beta!=0 , then the value of |(tan((alpha + beta)/2))/(tan((alpha-beta)/2))|

If 3sin alpha-sin beta ne 0, then the value of |(tan((alpha+beta)/(2)))/(tan((alpha-beta)/(2)))|

If 2tan alpha=3tan beta then tan(alpha-beta)=

(1+tan alpha tan beta)^(2)+(tan alpha-tan beta)^(2)=

Prove that (tan alpha+tan beta)/(cot alpha+cot beta)=tan alpha tan beta

If alpha+beta+gamma=2pi, then (a) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=tan(alpha/2)tan(beta/2)tan(gamma/2) (b)tan(alpha/2)tan(beta/2)+tan(beta/2)tan(gamma/2)+tan(gamma/2)tan(alpha/2)=1 (c)tan(alpha/2)+tan(beta/2)+tan(gamma/2)=-tan(alpha/2)tan(beta/2)tan(gamma/2) (d)none of these

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

    Text Solution

    |

  2. If alpha, beta, gamma are acute angles and cos theta = sin beta//sin a...

    Text Solution

    |

  3. if tanbeta=(nsinalphacosbeta)/(1-nsin^2alpha) then prove that tan(alph...

    Text Solution

    |

  4. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

    Text Solution

    |

  5. The graph of the function, cos x cos (x +2) -cos^2 (x+1) is

    Text Solution

    |

  6. If f (theta) = |sin theta| + |cos theta|, theta in R, then

    Text Solution

    |

  7. If P=cos(cos x)+sin (cos x), then the least and greatest value of P re...

    Text Solution

    |

  8. If un=sin(n theta) sec^n theta,vn=cos(ntheta)sec^ntheta n in N n!=1 t...

    Text Solution

    |

  9. If 0lt=xlt=pi/3 then range of f(x)=sec(pi/6-x)+sec(pi/6+x) is (4/(sqrt...

    Text Solution

    |

  10. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

    Text Solution

    |

  11. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

    Text Solution

    |

  12. The maximum value of sin(theta+pi/6)+cos(theta+pi/6) is attained at th...

    Text Solution

    |

  13. If cot^(2)x=cot(x-y)*cot(x-z), then cot2x is equal to (x!= pm pi/4)

    Text Solution

    |

  14. The minimum value of the expression sin alpha + sin beta+ sin gamma, ...

    Text Solution

    |

  15. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    Text Solution

    |

  16. If cos^4 theta sec^2 alpha,1/2 and sin^4 theta cosec^2 alpha are in ...

    Text Solution

    |

  17. The maximum value of (cosalpha(1))(cosalpha(2))...(cosalpha(n)), under...

    Text Solution

    |

  18. Find the set of values of x , which satisfy sin x * cos^(3) x gt cos *...

    Text Solution

    |

  19. If u=sqrt(a^2cos^2theta+b^2sin^2theta)+sqrt(a^2sin^2theta+b^2cos^2thet...

    Text Solution

    |

  20. For a positive integer n , fn(theta)=(tantheta/2)(1+sectheta)(1+sec2th...

    Text Solution

    |