Home
Class 10
MATHS
Show that: tan 10^(@)tan 15^(@) tan 75^...

Show that:
`tan 10^(@)tan 15^(@) tan 75^(@)tan 80^(@)=1`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise EXERCISE 21 (D)|22 Videos
  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise EXERCISE 21 (E)|62 Videos
  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise EXERCISE 21 (B)|15 Videos
  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (C)|42 Videos

Similar Questions

Explore conceptually related problems

Show that : (i) tan 10^(@) tan 15^(@) tan 75^(@) tan 80^(@) = 1 (ii) sin 42^(@) sec 48^(@) + cos 42^(@) "cosec 48"^(@) = 2

Prove that: tan10^(@) tan20^(@)tan70^(@)tan80^(@)=1

tan 75 ^(@) - tan 30^(@)- tan 75^(@) tan 30^(@) =1.

Show that tan48^(@) tan 23^(@) tan 42^(@) tan 67^(@) =1 .

tan 20^(@) tan 40^(@) tan 80^(@) = tan 60^(@)

tan 6 ^(@) tan 42 ^(@) tan 66 ^(@) tan 78^(@) =1

Prove that: (a) tan 20^(@)tan40^(@)tan60^(@)tan 80^(@)=3 (b) tan9^(@)-tan27^(@)-tan63^(@)+tan81^(@)=4

Prove that: tan10^(@)tan50^(@)+tan50^(@)tan70^(@)+tan70^(@)tan170^(@)=3

Shown that : tan48^(@)tan23^(@)tan42^(@)tan67^(@)=1

Without using trigonometric tables , prove that : (i) tan20^(@)tan40^(@) tan45^(@)tan50^(@)tan70^(@)=1 (ii) tan1^(@) tan2^(@)tan60^(@)tan88^(@)tan89^(@)=sqrt(3) (iii) cot5^(@)cot10^(@)cot30^(@)cot80^(@)cot85^(@)=sqrt(3) (iv) 4sin10^(@)sin20^(@)sin30^(@)sec70^(@)sec80^(@)=2

ICSE-TRIGONOMETRICAL IDENTITIES-EXERCISE 21 (C)
  1. Show that: tan 10^(@)tan 15^(@) tan 75^(@)tan 80^(@)=1

    Text Solution

    |

  2. Show that: sin 42^(@)sec 48^(@)+cos 42^(@)cosec 48^(@)=2

    Text Solution

    |

  3. Show that : (sin 26^(@))/ (sec 64^(@)) + (cos 26^(@))/ (cosec 64^(@)...

    Text Solution

    |

  4. Express the following in terms of angles between 0^(@) and 45^(@) si...

    Text Solution

    |

  5. Express the following in terms of angles between 0^(@) and 45^(@) co...

    Text Solution

    |

  6. Express the following in terms of angles between 0^(@) and 45^(@) co...

    Text Solution

    |

  7. Prove that : (sin A )/(sin (90^(@) -A)) + (cos A )/( cos (90^(@) - A )...

    Text Solution

    |

  8. Show that : sin A cos A - (sin A cos(90^(@) - A) cos A)/ (sec (90^(@...

    Text Solution

    |

  9. For triangle ABC, show that : (i) "sin" (A + B)/(2) = "cos" (C)/(2) ...

    Text Solution

    |

  10. For triangle ABC, show that "tan"(B+C)/2="cot"A/2

    Text Solution

    |

  11. Evaluate : 3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))

    Text Solution

    |

  12. Evaluate : 3 cos 80^(@)cosec 10^(@)+2sin 59^(@)sec 31^(@)

    Text Solution

    |

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

    Text Solution

    |

  14. Evaluate : tan (55^(@)-A)-cot (35^(@)+A)

    Text Solution

    |

  15. Evaluate : cosec(65^(@)+A)-sec(25^(@)-A)

    Text Solution

    |

  16. Evaluate : 2 (tan 57^(@))/(cot 33^(@))-(cot 70^(@))/(tan 20^(@))-sqr...

    Text Solution

    |

  17. Evaluate : (cot^(2)41^(@))/(tan^(2)49^(@))-2(sin^(2)75^(@))/(cos^(2)...

    Text Solution

    |

  18. Evaluate : (cos 70^(@))/(sin 20^(@))+(cos 59^(@))/(sin31^(@))-8sin^(...

    Text Solution

    |

  19. Evaluate : 14 sin 30^(@)+6cos 60^(@)-5tan 45^(@)

    Text Solution

    |

  20. A triangle ABC is right angled at B, find the value of (sec A . cose...

    Text Solution

    |