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

`sqrt(3)tan((alpha)/(2))-tan((beta)/(2))=0`

B

`tan((alpha)/(2))-sqrt(3)tan((beta)/(2))=0`

C

`tan((alpha)/(2))+sqrt(3)tan((beta)/(2))=0`

D

`sqrt(3)tan((alpha)/(2))+tan((beta)/(2))=0`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos
  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

Similar Questions

Explore conceptually related problems

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

If cos theta=(cos alpha cos beta)/(1-sin alpha sin beta), prove that one value of tan (theta/2)=(tan (alpha/2)-tan (beta/2))/(1-tan (alpha/2) tan (beta/2)).

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

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

(sinalpha+sinbeta-sin(alpha+beta))/(sinalpha+sinbeta+sin(alpha+beta))=tan(alpha/2)tan(beta/2)

If "sin" alpha=ksinbeta then tan((alpha-beta)/(2)).cot((alpha+beta)/(2)) is equal to

If cos theta=cos alpha cos beta then tan((theta+alpha)/2) tan((theta-alpha)/2)= (i) tan^2(alpha/2) (ii) tan^2(beta/2) (iii) tan^2(theta/2) (iv) cot^2(beta/2)

If cot(alpha+beta)=0\ ,\ then write the value of "sin"(alpha+2beta) .

If cos theta=(cos alpha cos beta)/(1-sin alpha sin beta), prove that one value of (tan) theta/2=(tan alpha/2-tan beta/2)/(1-t a n alpha/2 tan beta/2).

If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+cot alpha tan beta is

RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Let S={x in (-pi, pi) : x ne 0, pm pi/2}. The sum of all distinct solu...

    Text Solution

    |

  2. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

    Text Solution

    |

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

    Text Solution

    |

  4. The value of ((log(2)9)^(2))^(1/(log(2)(log(2)9)))xx(sqrt7)^(1/(log(4...

    Text Solution

    |

  5. If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC...

    Text Solution

    |

  6. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

    Text Solution

    |

  7. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  8. If A=sin^(2)x+cos^(4)x, then for all real x

    Text Solution

    |

  9. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

    Text Solution

    |

  10. In a Delta PQR , if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1, th...

    Text Solution

    |

  11. Let A and B be two sets containing 2 elements and 4 elements, respecti...

    Text Solution

    |

  12. The expression (tan A)/(1-cotA)+(cot A)/(1-tan A) can be written as

    Text Solution

    |

  13. If X={4^(n)-3n-1:ninN}andy={9(n-1):ninN}, then X uu Y equals

    Text Solution

    |

  14. Let fk(x)=1/k(sin^kx+cos^kx)" where "x in R and kge1. " Then "f4(x) -f...

    Text Solution

    |

  15. Let A and B be two sets containing 2 elements and 4 elements, respecti...

    Text Solution

    |

  16. If the anlges of elevation of the top of a tower from three collinear ...

    Text Solution

    |

  17. If 0 le x le 2pi, then the number of real values of x, which satisfy t...

    Text Solution

    |

  18. If 5 (tan ^(2) x - cos ^(2) x ) = 2 cos 2x +9, then the value of cos 4...

    Text Solution

    |

  19. Let a vertical tower A B have its end A on the level ground. Let C be ...

    Text Solution

    |

  20. Let S= {x in R : x ge 0 and 2 |sqrt(x) - 3| + sqrt(x)(sqrt(x) - 6) +...

    Text Solution

    |