Home
Class 12
MATHS
If cos alpha+cos beta = a, sin alpha+sin...

If `cos alpha+cos beta = a, sin alpha+sin beta=b and a-beta=2 theta,` then `(cos 3theta)/(cos theta)=`

A

`a^(2)+b^(2)-2`

B

`a^(2)+b^(2)-3`

C

`3-a^(2)-b^(2)`

D

`(a^(2)+b^(2))//4`

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

Ifcos alpha+cos beta=a,sin alpha+sin beta=b and alpha-beta=2 theta then (cos3 theta)/(cos theta)=

If cos alpha+cos beta=a sin alpha+sin beta=balpha-beta=2 theta then (cos3 theta)/(cos theta)=

If cos a+cos beta=a,sin a+sin beta=b are alpha-beta=2 theta, then (cos3 theta)/(cos3 theta)=

If cos alpha+cos beta=0=sin alpha+sin beta then cos2 alpha+cos2 beta=

If cos alpha + cosbeta=a, sinalpha + sinbeta=b and theta is the arithmetic mean between alpha and beta , then (sin2theta + cos 2theta) is equal to :

If cos alpha + cos beta = 0 = sin alpha + sin beta, then value of cos 2 alpha + cos 2 beta is

If cos alpha+cos beta=(3)/(2) and sin alpha+sin beta=(1)/(2) and theta is the arithmetic mean of alpha and beta, then sin2 theta+cos2 theta is equal to:

If cos alpha+cos beta=(3)/(2) and sin alpha+sin beta=(1)/(2) and theta is the arithmetic mean of alpha and beta, then sin2 theta+cos2 theta is equal to

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -SOLVED EXAMPLES (LEVEL 1 Single Correct Answer Type Questions)
  1. The greatest value of f(x)=2sinx+sin2x on [0, 3pi//2], is given by

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 16[tan 2 theta+sin2 theta]+8=0 if

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The number of solution of the equation cos (pi sqrt(x-4)) cos (pi sq...

    Text Solution

    |

  16. The number of values of x in the interval [0, 3pi] satisfying the equa...

    Text Solution

    |

  17. If A, B, C are the angles of a trinagle and cosB+cosC=4sin^(2)(A//2),...

    Text Solution

    |

  18. If 15sin^(4)x +10cos^(4)x =6, Then tan^(2)x=

    Text Solution

    |

  19. Sum of the root of the equation 2sin^(2)theta +sin^(2)2 theta =2, 0...

    Text Solution

    |

  20. If tan x//2="cosec"x-sinx, then sec^(2)(x//2)=

    Text Solution

    |