Home
Class 12
MATHS
If m sin (alpha+beta) = cos (alpha-beta)...

If `m sin (alpha+beta) = cos (alpha-beta)`, prove that
`(1)/(1- m sin 2 alpha)+(1)/(1-m sin 2 beta)=(2)/(1-m^(2))`.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|24 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

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

Similar Questions

Explore conceptually related problems

If cos(alpha+beta)=0 then sin(alpha+2beta)=

If cos(alpha-beta)=3sin(alpha+beta),t h e n 1/(1-3sin2alpha)+1/(1-3sin2beta)= (a) 1/2 (b) (-1)/2 (c) 1/4 (d) (-1)/4

If cos(alpha-beta)=3sin(alpha+beta),t h e n1/(1-3sin2alpha)+1/(1-3sin2beta)= 1/2 (b) (-1)/2 (c) 1/4 (d) (-1)/4

If sin alpha + sin beta = a and cos alpha + cos beta = b, prove that : cos (alpha-beta) = 1/2 (a^2 + b^2 -2)

If tan (alpha-beta)=(sin 2beta)/(3-cos 2beta) , then

Show that (sin (alpha + beta))/( sin (alpha + beta)) = 2, given that tan alpha = 2 tan beta.

Prove that (sin alpha cos beta + cos alpha sin beta) ^(2) + (cos alpha coa beta - sin alpha sin beta) ^(2) =1.

If : sin (alpha + beta)=1 and sin (alpha-beta)=(1)/(2), "then" : tan (alpha+2beta)*tan(2alpha+beta)=

If tan beta = 3 tan alpha, prove that tan (alpha + beta) = (2sin 2beta)/(1+cos 2beta)

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

ARIHANT MATHS ENGLISH-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Subjective Type Questions)
  1. Prove that, cot 7 1/2 ^@ or tan 82 1/2 ^@ = (sqrt(3)+sqrt(2))(sqrt(2)+...

    Text Solution

    |

  2. If m sin (alpha+beta) = cos (alpha-beta), prove that (1)/(1- m sin 2...

    Text Solution

    |

  3. If alpha+beta+gamma=pi and tan((beta+gamma-alpha)/4)tan((gamma+alpha-b...

    Text Solution

    |

  4. The set of values of a for which the equation Sin^4 x + Cos^4 x = a ha...

    Text Solution

    |

  5. If aa n db are positive quantities such that a > b , the minimum value...

    Text Solution

    |

  6. If a, b, c and k are real constants and alpha, beta, gamma are variab...

    Text Solution

    |

  7. If (x)/(tan(theta+alpha))=(y)/(tan(theta+beta))=(z)/(tan(theta+gamma))...

    Text Solution

    |

  8. Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)cos(a1+x)++1/(2^(n-1))cos(an+x)...

    Text Solution

    |

  9. Eliminate theta from the equations tan(n theta+alpha)-tan(n theta+b...

    Text Solution

    |

  10. If A, B, C are the angle of a triangle and |(sinA,sinB,sinC),(cosA,...

    Text Solution

    |

  11. In any DeltaABC, prove that Sigma (sqrt(sinA))/(sqrt(sinB)+sqrt(sinC...

    Text Solution

    |

  12. If 2(cos ( alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)+3=0, prove tha...

    Text Solution

    |

  13. If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)-...

    Text Solution

    |

  14. If (cos theta(1))/(cos theta(2))+(sin theta(1))/(sin theta(2))=(cos th...

    Text Solution

    |

  15. Prove that sum(k=1)^(n-1) ""^(n)C(k)[cos k x. cos (n+k)x+sin(n-k)x.s...

    Text Solution

    |

  16. Total number of solution for the equation x^(2)-3[sin(x-(pi)/6)]=3 is ...

    Text Solution

    |

  17. In aDeltaABC, prove that Sigma(r=0)^(n)""^(n)C(r)a^(r)b^(n-r) cos ( ...

    Text Solution

    |

  18. Resolve Z^5+ 1 into linear & quadratic factors with real coefficients...

    Text Solution

    |

  19. Prove that the roots of the equation 8x^(3)-4x^(2)-4x+1=0 " are " co...

    Text Solution

    |