Home
Class 11
MATHS
If (sin beta)/(sin(2 alpha+ beta))=m/n, ...

If `(sin beta)/(sin(2 alpha+ beta))=m/n`, prove that : `cot (alpha+ beta)= (n-m)/(n+m) cot alpha`.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If 3sinbeta=sin(2alpha+beta) then

If m tan(alpha-theta)/( cos^2 theta) = n (tan theta)/ (cos^2 (alpha - theta) the prove that 2 theta = alpha - [ tan^(-1) ((n-m)/(n+m)) tan alpha]

If tan beta= (Q sin alpha)/(P+Q cos alpha) , prove that : tan (alpha-beta)= (P sin alpha)/(Q+P cos alpha) .

If (cos^4 alpha)/(cos^2 beta)+ (sin^4 alpha)/(sin^2 beta) =1 , prove that : sin^4 alpha+ sin^4 beta= 2 sin^2 alpha sin^2 beta .

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

If cos (alpha+beta) sin (gamma+delta)=cos (alpha-beta) sin (gamma-delta) , prove that : cot alpha cot beta cot gamma= cot delta .

If 2 tan beta+cot beta= tan alpha , prove that cot beta= 2 tan (alpha-beta) .

If cot alpha cot beta=2 , show that (cos (alpha+beta))/(cos (alpha-beta)) = 1/3 .

If tan alpha= n tan beta and sin alpha= m sin beta , prove that cos^2 alpha= (m^2-1)/(n^2-1) .

If (cos^4 alpha)/(cos^2 beta)+ (sin^4 alpha)/(sin^2 beta) =1 , prove that : (cos^4 beta)/(cos^2 alpha)+ (sin^4 beta)/ (sin^2 alpha) =1 .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If alpha+beta=pi/2, then the maximum value of cosalpha cos beta is:

    Text Solution

    |

  2. If cos (theta + 2alpha) = m cos theta, prove that : cot alpha = (1+m)/...

    Text Solution

    |

  3. If (sin beta)/(sin(2 alpha+ beta))=m/n, prove that : cot (alpha+ beta)...

    Text Solution

    |

  4. If (sin (theta+alpha))/(cos (theta-alpha))= (1-m)/(1+m), prove that : ...

    Text Solution

    |

  5. Prove that : sin (y + z-x) + sin (z + x-y) + sin (x +y-z)-sin (x+y+z)...

    Text Solution

    |

  6. If cos (A + B) sin (C- D) = cos (A- B) sin (C+D), show that : tan A t...

    Text Solution

    |

  7. Prove that : (sinx)/(1+cos x)= tan frac (x)(2).

    Text Solution

    |

  8. Prove that : cot 2A= (cot^2 A-1)/(2 cot A).

    Text Solution

    |

  9. Prove that : (1-sin2x)/(1+sin2x)= tan^2 (pi/4-x).

    Text Solution

    |

  10. Find tan 15^@ and hence show that tan 15^@+ cot 15^@ = 4.

    Text Solution

    |

  11. Prove that : tan 75^@+ cot 75^@=4.

    Text Solution

    |

  12. Given cos 45^@=1/sqrt2, find the value of cos 22 1^@/2.

    Text Solution

    |

  13. Prove that : (1+sin 2 theta-cos 2 theta)/(1+sin 2 theta+ cos 2 theta...

    Text Solution

    |

  14. Prove that : 2 tan 2x= (cos x+sinx)/(cos x-sinx)-(cos x- sinx)/(cos ...

    Text Solution

    |

  15. Prove the following: cos 4x = 1 - 8sin^2 x cos^2 x

    Text Solution

    |

  16. Prove that : sin 4A=4 sinA cos^3 A- 4 cosA sin^3 A.

    Text Solution

    |

  17. Prove that : sin3A+ sin 2A- sinA= 4 sinA cos frac (A)(2) cos frac (3...

    Text Solution

    |

  18. Prove that (tan^2 theta)/(tan^2 theta-1)+(cosec^2 theta)/ (sec^2 theta...

    Text Solution

    |

  19. If cos theta =1/2(a+1/a), prove that : 2 cos 2 theta= a^2+1/ a^2.

    Text Solution

    |

  20. If cos theta =1/2(a+1/a), prove that : 2 cos 4 theta= a^4+1/ a^4.

    Text Solution

    |