Home
Class 12
MATHS
If cos theta=cos alpha cos beta, then "t...

If `cos theta=cos alpha cos beta`, then `"tan"(theta+alpha)/(2)"tan"(theta-alpha)/(2)` is equal to

A

`tan^(2) (alpha//2)`

B

`tan^(2)(beta//2)`

C

`tan^(2)(theta//2)`

D

`cot^(2)(beta//2)`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 Single Correct Answer Type Questions) |32 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions) |26 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

If costheta=cos alphacosbeta, then tan((theta+alpha)/(2))tan((theta-alpha)/(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 cos theta=cos alpha cos beta, prove that tan(theta+alpha)/(2)tan(theta-alpha)/(2)=tan^(2)(beta)/(2)

If cos(theta+2 alpha)=m cos theta, show that cot alpha=(1+m)/(1-m)tan(theta+alpha)

If cos theta=(a cos alpha+b)/(a+b cos alpha), then the value of tan((theta)/(2)) is :

If tan theta=cos theta tan alpha, then tan^(2)((theta)/(2)) is equal to

If cos theta=(cos alpha+cos beta)/(1+cos alpha cos beta), prove that (tan theta)/(2)=-(tan alpha)/(2)(tan beta)/(2)

If cos theta=(cos alpha-cos beta)/(1-cos alpha*cos beta), prove that tan(theta)/(2)=+-(tan alpha)/(2)(cot beta)/(2)

If cos(theta-alpha),costheta,cos(theta+alpha) are in H.P.,then costhetasec(alpha//2) is equal to

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -SOLVED EXAMPLES (LEVEL 1 Single Correct Answer Type Questions)
  1. If a=cos phi cos psi -sin phi sin psi cos delta b=cos phi sin psi-si...

    Text Solution

    |

  2. In a triangle ABC, BP is drawn perpendicular to BC to meet CA in P, su...

    Text Solution

    |

  3. If cos theta=cos alpha cos beta, then "tan"(theta+alpha)/(2)"tan"(thet...

    Text Solution

    |

  4. The equation a sin x +b cos x =c, where |c| gt sqrt(a^(2)+b^(2)) has

    Text Solution

    |

  5. If cot alpha equals the integral solution of the inequality 4x^(2)-16x...

    Text Solution

    |

  6. The value of "cos"(2pi)/(7)+"cos"(4pi)/(7)+"cos"(6pi)/(7)+"cos"(7pi)/(...

    Text Solution

    |

  7. The greatest value of f(x)=2sinx+sin2x on [0, 3pi//2], is given by

    Text Solution

    |

  8. If x=a cos^(3) theta sin^(2) theta, y = a sin^(3) cos^(2) theta and ((...

    Text Solution

    |

  9. If cos alpha+cos beta = a, sin alpha+sin beta=b and a-beta=2 theta, th...

    Text Solution

    |

  10. If cosA=3//4, then the value of 16cos^(2)(A//2)-32sin(A//2) sin (5A/...

    Text Solution

    |

  11. If D=|(1,cos theta, 1),(-sin theta, 1,-cos theta),(-1, sin theta,1)| ...

    Text Solution

    |

  12. A value of theta lying between theta=0 and theta=pi//2 satisfying the...

    Text Solution

    |

  13. Let theta in (pi//4,pi//2), which of the following statement is true?

    Text Solution

    |

  14. If a cos A-b sinA=c, then a sinA+b cosA is equal to

    Text Solution

    |

  15. The general solution of the trigonometrical equation sin x +cosx=1 is

    Text Solution

    |

  16. The values of x been 0 and 2pi which satisfy the equation sin x sqrt(8...

    Text Solution

    |

  17. 16[tan 2 theta+sin2 theta]+8=0 if

    Text Solution

    |

  18. The numbers of solutions of the pair of equations 2sin^(2) theta-cos...

    Text Solution

    |

  19. The solution set of the equation tan(pi tan x=cot (pi cot x) is

    Text Solution

    |

  20. The least positive root of the function sin x -pi//2+1=0 lies in the i...

    Text Solution

    |