Home
Class 11
MATHS
Prove that : sin (A + B) sin (A - B) = ...

Prove that :
`sin (A + B) sin (A - B) = sin^2A- sin^2B`.

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

sin (A + B) = sin A + sin B.

Prove that : 2sin A cosB = sin (A + B) + sin (A -B) .

Prove that : sin(A + B) = sin A cos B + cos A sin B .

Prove that : sin(A- B) = sin A cos B -cos A sin B .

Prove that : cos (A + B) = cos A cos B - sin A sin B .

Prove that : cos (A - B) = cos A cos B + sin A sin B .

If A+B +C =2S, prove that : sin (S - A) + sin (S- B) + sin (S-C)-sinS= 4 sin frac (A)(2) sin frac (B)(2) sin frac (C)(2) .

If A= 30^@ and B= 60^@ , verify that : sin (A + B) = sin A cos B + cos A sin B .

If A + B + C =180^@ , prove that : sin (B + 2C) + sin (C + 2A) + sin (A + 2B) = 4 sin frac (B-C)(2) sin frac (C-A)(2) sin frac (A-B)(2) .

Prove that : 2 cosA sinB = sin (A + B)- sin (A - B) .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : sin (A + B) sin (A - B) = sin^2A- sin^2B.

    Text Solution

    |

  2. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  3. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  4. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  5. Find the radian measures corresponding to the following degree measure...

    Text Solution

    |

  6. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  7. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  8. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  9. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  10. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  11. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  12. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  13. The angles of a triangle are3x^@, ((4x)/3)^g and (2 pi x)/75 radians. ...

    Text Solution

    |

  14. Express the radians the fourth angle of a quadrilateral which has thre...

    Text Solution

    |

  15. The sum of two angles is 80 grades and their difference is 18^@. Find ...

    Text Solution

    |

  16. The angles of a triangle are in the ratio 1 : 2: 3. Find the angles in...

    Text Solution

    |

  17. The vertical angle of an isosceles triangle is 2/3 rd of each of its b...

    Text Solution

    |

  18. In a right-angled triangle, the difference between two acute angles is...

    Text Solution

    |

  19. The wheel of a carriage is 91 cm in diameter and makes 5 revolutions p...

    Text Solution

    |

  20. A wheel makes 360 revolutions in one minute. Through how many radians ...

    Text Solution

    |

  21. Find the length of the arc of a circle of radius 5 cm subtending an an...

    Text Solution

    |