Home
Class 12
MATHS
Prove that sin55^(@)-sin19^(@)+sin53^(...

Prove that
`sin55^(@)-sin19^(@)+sin53^(@)-sin17^(@)=cos1^(@)`

Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise EXERCISE -I|15 Videos

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise EXERCISE -II|27 Videos

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise EXERCISE -4.2 (LONG ANSWER QUESTIONS)|30 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

Prove that sin50^(@)-sin70^(@)+sin10^(@)=0

Prove that sin 50^(@) - sin 70^(@) +sin 10^(@) =0 .

The value of (sin 1^(@) + sin 3^(@) + sin 5^(@) + sin 7^(@))/( cos 1^(@) .cos2^(@).sin4^(@)) is"________"

Prove that (sin70^(@)-cos40^(@))/(cos50^(@)-sin20^(@)) = 1/(sqrt(3)) .

Prove that cos20^(@)cos40^(@)-sin5^(@)sin25^(@)=(sqrt(3)+1)/4

Prove that sin^(2)5^(@) +sin^(2)10^(@) + sin^(2)15^(@)+...+sin^(2)90^(@)=(19)/(2)

Prove that cos 20^(@) cos 40^(@) - sin5^(@) sin 25^(@) = (sqrt(3)+1)/(4) .

(Sin^(3)43^(@)-Sin^(3)17^(@))/(Sin43^(@)-Sin17^(@))=

Prove that sin 780^(@) sin 480^(@)+cos240^(@). Cos300^(@) = 1/2

AAKASH SERIES-TRANSFORMATIONS AND INDENTITIES-ADDITIONAL EXERCISE
  1. cos (B+C-A)-cos(C+A-B)+cos(A+B-C)- cos (A+B+C)=

    Text Solution

    |

  2. If cosA=3/4 then show that "sin"A/2"sin"(5A)/2=11/32.

    Text Solution

    |

  3. Show that cot(A+15^(@))-tan(A-15^(@))=(4cos2A)/(1+2sin2A) deduce tha...

    Text Solution

    |

  4. Prove that cos alpha+cos beta+cos gamma+cos (alpha+beta+gamma) =4c...

    Text Solution

    |

  5. Prove that 1+cos2x+cos4x+cos6x =4cosx cos 2x cos 3x

    Text Solution

    |

  6. Prove that ((cos theta-cos 3 theta)(sin 8 theta +sin 2 theta))/((sin ...

    Text Solution

    |

  7. Prove that (sin alpha+sin2 alpha+sin3alpha+sin4alpha)/(cos alpha+cos ...

    Text Solution

    |

  8. Prove that 2 "cos"(pi)/13"cos"(9pi)/13+"cos"(3pi)/13+"cos"(5pi)/13=0

    Text Solution

    |

  9. Prove that sin55^(@)-sin19^(@)+sin53^(@)-sin17^(@)=cos1^(@)

    Text Solution

    |

  10. If A+B+C=180^(@) then prove that cos^(2)A+cos^(2)B-cos^(2)C=1-2sin ...

    Text Solution

    |

  11. If A+B+C=180^(@) then prove that cos^(2)A+cos^(2)B+cos^(2)C=1-2cosA...

    Text Solution

    |

  12. If A+B+C=180^(@) then prove that sin"A/2+"sin"B/2+"sin"C/2 =1+4si...

    Text Solution

    |

  13. If A+B+C=0 then show that 1+cosA+cosB+cosC=4"cos"A/2"cos"B/2"cos"C/2

    Text Solution

    |

  14. Prove that cos^(2)theta sin^(3)theta=1/16(2 sin theta+sin 3theta-sin...

    Text Solution

    |

  15. Given alpha+beta-gamma=pi and sin^(2)alpha+sin^(2)beta-sin^(2)gamma=...

    Text Solution

    |

  16. If 2 cos theta+2 cos 3 theta=cos alpha and 2 sin theta+2 sin 3 theta=s...

    Text Solution

    |

  17. Show that tan20^(@)+4sin20^(@)=(sqrt(3))

    Text Solution

    |

  18. Show that "cos"(pi)/65"cos"(2pi)/65"cos"(4pi)/65"cos"(8pi)/65"cos"(1...

    Text Solution

    |