Home
Class 11
MATHS
Show that ( cos 10^(@) + sin 10 ^(@))/( ...

Show that `( cos 10^(@) + sin 10 ^(@))/( cos 10^(@) - sin 10 ^(@)) = tan 55^(@).`

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 cos 10^(@) + cos 110^(@) + cos 130^(@) = 0

sin10 5^(@)+cos10 5^(@)=

What is the value of (cos 10 ^(@) + sin 20^(@))/( cos 20^(@) - sin 10 ^(@))?

Prove that : (cos 10^0 - sin 10^0)/(cos 10^0 + sin 10^0) = tan 35^0

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

Prove that 4(cos ^(3) 10^(@) + sin ^(3) 20^(@)) = 3 ( cos 10^(@) + sin 20^(@)).

The value of cos 10^@ - sin 10^@ is

The value of 2 cos10^(@)+sin 100^(@)+sin 1000^(@)+sin 10000^(@) is

Evaluate : (sin 80^(@))/(cos 10^(@))+sin 59^(@)sec 31^(@)

show that sin 55 ^(@) sin 25^(@) + cos 70^(@) .cos 10 ^(@) =( (sqrt3+1))/( 4)

ICSE-COMPOUND AND MULTIPLE ANGLES -CHEPTER TEST
  1. if A+ B + C = pi, and cos A = cos B cos C, show that 2 cot B cot C=1.

    Text Solution

    |

  2. Show that (sin (alpha + beta))/( sin (alpha + beta)) = 2, given that ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Express cot A in terms of cos 2 A

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |