Home
Class 12
MATHS
sin A + sin B = sqrt(3) ( cos B- cos A )...

`sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=`

A

`0`

B

2

C

1

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )|49 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 F ( PERIODIC FUNCTIONS )|39 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos
  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

A+C=2B implies ( cos C - cos A )/( sin A - sin C )=

( sin 3A + sin A) sin A + ( cos 3A- cos A ) cos A =

If sin A = sin B and cos A = cos B then A =

If sin A + cos B = a and sin B + cos A = b, then sin (A + B) is equal to

( cos A + cos 3A + cos 5A + cos 7A )/( sin A + sin 3A + sin 5A + sin 7A ) =

Using the fact the that sin (A+B)= sin A cos B+ cos A sin B and the differentiation, obtain the sum formula for cosines.

(sin 3x + sin x ) sin x + (cos 3x - cos x) cos x =0

(cos A - cos 3A)/(cos A) + (sin A + sin 3A)/(sin A)=

If tan A=(x sin B)/(1- x cos B) and tan B=(y sin A)/(1-y cos A) then (sin A )/(sin B)=

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )
  1. (cos x )/( cos (x-2y))= lambda implies tan(x-y) tan y=

    Text Solution

    |

  2. If ( cos ( theta1- theta 2 ))/(cos ( theta1+ theta2))+( cos ( theta3 +...

    Text Solution

    |

  3. If tan""((theta)/(2))=sqrt([(1-e)/(1+e)]) tan""((alpha)/(2)) then cos...

    Text Solution

    |

  4. If cos theta = ( cos alpha - cos beta )/(1- cos alpha cos beta ) " the...

    Text Solution

    |

  5. cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=

    Text Solution

    |

  6. If xy+yz+zx=1, " then " (x)/( 1+x^(2))+(y)/(1+y^2)+(z)/(1+z^(2))=

    Text Solution

    |

  7. If sin alpha + sin beta = a , cos alpha + cos beta = b " then sin ( ...

    Text Solution

    |

  8. If sin alpha + sin beta = a , cos alpha + cos beta = b " then cos ( ...

    Text Solution

    |

  9. If cos alpha + cos beta = a, sin alpha + sin beta = b and theta is the...

    Text Solution

    |

  10. If cos x+ cos y = 1//3 , sin x + sin y=1//4 " then " cos (x+y)=

    Text Solution

    |

  11. If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + s...

    Text Solution

    |

  12. If sin x + sin y =(1)/4 , sin x- sin y =1/5 , " then " 4 cot ""((x-y)...

    Text Solution

    |

  13. If cos x+ cosy =(4)/(5) and cos x- cos y =(2)/(7), then the value of 1...

    Text Solution

    |

  14. Let alpha , beta be such that pi lt alpha - beta lt 3 pi . If sin...

    Text Solution

    |

  15. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

    Text Solution

    |

  16. The value of sqrt(3) cot 20^(@) -4 cos 20^(@) is

    Text Solution

    |

  17. If n is an odd integer than ((cos A + cos B)/( sin A - sin B))^(n) + (...

    Text Solution

    |

  18. If (1+sqrt(1+a)) tan alpha =1 + sqrt(1- alpha ) then sin 4 alpha =

    Text Solution

    |

  19. If sin^(3) x sin 3x = sum(m=0)^(n)Cm cos^(m)x " where " C0,C1...........

    Text Solution

    |

  20. If 0 lt theta lt pi/2, x = sum(n=0)^(oo)cos^(2n) theta, y =sum(n=0)^(o...

    Text Solution

    |