Home
Class 11
MATHS
Show that (sin 5 A + 2 sin 8A + sin 11 A...

Show that `(sin 5 A + 2 sin 8A + sin 11 A)/( sin 8A + 2 sin 11 A + sin 14 A) = (sin 8A)/(sin 11 A).`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise EXERCISE 5 (D) |60 Videos

  • COMPLEX NUMBERS

    ICSE|Exercise Chapter Test|25 Videos

  • CONIC SECTIONS

    ICSE|Exercise Multiple Choice Questions |33 Videos

Similar Questions

Explore conceptually related problems

Show that ( sin 5A + 2 sin 8A + sin 11A ) /( sin 8 A +2sin 11A + sin 14A ) = (sin 8A)/( sin 11A)

Show that sin 47^@ + sin 61^@ - sin 11^@ - sin 25^@ = cos 7^@

Show that sin 3 A + sin 2A -sin A = 4 sin A cos (A)/(2) cos "" (3A)/( 2)

sin 12 ^(@) sin 48^(@) sin 54 ^(@) = (1)/(8).

Show that sin 19^(@) + sin 41^(@) + sin 83^(@) = sin 23 ^(@) + sin 37^(@) + sin 79^(@).

Show that : sin^8 A-cos^8 A = (sin^2 A - cos^2 A) (1-2 sin^2 A*cos^2 A)

prove that : (sinA+2sin3A+sin5A)/(sin3A+2sin5A+sin7A)=(sin3A)/(sin5A)

Prove that : (sin theta + 2 sin 3theta + sin 5theta)/(sin 3theta + 2 sin 5theta + sin 7theta) = (sin 3theta)/(sin 5theta)

Prove that: (sin11 A\ sin A+sin7A\ sin3A)/(cos 11\ A\ sin A+cos7Asin3A)=t a n8A

sin 4x sin 8x

ICSE-COMPOUND AND MULTIPLE ANGLES -CHEPTER TEST
  1. Show that (sin (alpha + beta))/( sin (alpha + beta)) = 2, given that ...

    Text Solution

    |

  2. Show that ( cos 10^(@) + sin 10 ^(@))/( cos 10^(@) - sin 10 ^(@)) = ta...

    Text Solution

    |

  3. If sin 2 A = 4/5, find the value of tan A, (0^(@) le A le (pi)/(3))

    Text Solution

    |

  4. Express cot A in terms of cos 2 A

    Text Solution

    |

  5. Write cos 4 theta in terms of cos theta.

    Text Solution

    |

  6. A positive acute angle is divided into two parts whose tangents are 1/...

    Text Solution

    |

  7. Show that cos 10^(@) + cos 110^(@) + cos 130^(@) = 0

    Text Solution

    |

  8. Show that (sin 5 A + 2 sin 8A + sin 11 A)/( sin 8A + 2 sin 11 A + sin ...

    Text Solution

    |

  9. Show that (1)/(2 sin 10^(@)) - 2 sin 70^(@) =1.

    Text Solution

    |

  10. Show that sin 19^(@) + sin 41^(@) + sin 83^(@) = sin 23 ^(@) + sin 37^...

    Text Solution

    |

  11. If sin A = (1)/(sqrt3) and sin B = (1)/(sqrt5) find the value of tan...

    Text Solution

    |

  12. If sin theta = n sin ( theta + 2 alpha ) , show that ( n -1) tan (the...

    Text Solution

    |

  13. If tan "" (alpha )/(2) and tan "" (beta)/( 2) are the roots of the eq...

    Text Solution

    |

  14. Prove that ((cos A + cos B)/( sin A - sin B )) ^(n) + ((sin A + sin B ...

    Text Solution

    |

  15. Find sin ""(x)/(2), cos "" (x)/(2) and tan "" (x)/(2) in each of the c...

    Text Solution

    |

  16. Find sin ""(x)/(2), cos "" (x)/(2) and tan "" (x)/(2) in each of the c...

    Text Solution

    |

  17. Prove that cos 6x = 32 cos ^(6) x - 48 cos ^(4) x + 18 cos ^(2) x -1.

    Text Solution

    |

  18. Prove that sin ^(2) 72 ^(@)- sin ^(2) 60 ^(@)= (sqrt5-1)/(8).

    Text Solution

    |

  19. If tan x, tan y, tan z are in G.P., show that cos 2y = (cos (x +z))/(...

    Text Solution

    |

  20. If tan (alpha )/(2) : tan ""(beta)/(2) = 1 : sqrt3 show that cos beta...

    Text Solution

    |