Home
Class 12
MATHS
Prove that tan 9^circ - tan 27^circ -tan...

Prove that `tan 9^circ - tan 27^circ -tan 63^circ + tan 81^circ = 4`.

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

Prove that tan 20^circ* tan 80^circ = sqrt3 tan 50^circ .

Prove that sin 55^circ - sin 19^circ + sin 53^circ - sin 17^circ = cos 1^circ

Prove that sin 1^circ lt sin 1 .

The value of tan 9^@ - tan 27^@ - tan 63^@ + tan 81^@ is equal to:

Value of tan9^@ - tan27^@ - tan63^@ + tan81^@ is ?

The value of is: (tan13^circ tan37^circ tan45^circ tan53^circ tan77^circ)/( 2cosec^(2) 60^circ(cos^(2) 60^circ−3cos60^circ+2))

The numerical value of tan 225^circ *cot 405^circ + tan 765^circ* cot 675^circ =______.

tan 40^circ + 2tan 10^circ is equal to

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. Prove that sin 55^circ - sin 19^circ + sin 53^circ - sin 17^circ = co...

    Text Solution

    |

  2. Prove that cos^(4)pi/8+cos^(4)(3pi)/(8)+cos^(4)(5pi)/8+cos^(4)(7pi)/...

    Text Solution

    |

  3. Prove that tan 9^circ - tan 27^circ -tan 63^circ + tan 81^circ = 4.

    Text Solution

    |

  4. Prove that cos^(4)pi/8+cos^(4)(3pi)/(8)+cos^(4)(5pi)/8+cos^(4)(7pi)/...

    Text Solution

    |

  5. Prove that cos theta* cos 2theta* cos2^(2)theta * cos2^(3)theta x... ...

    Text Solution

    |

  6. Prove that cos pi/15 * cos 2pi/15* cos3pi/15... . . to 7 factors = 1...

    Text Solution

    |

  7. Prove that sin pi/14* sin 3pi/14* sin 5pi/14........... to 7 factors ...

    Text Solution

    |

  8. If A gt 0, B gt 0 and A + B = pi/3 then find the maximum value of tan...

    Text Solution

    |

  9. Find the minimum value of 9tan^(2)theta + 4cot^(2)theta.

    Text Solution

    |

  10. Show that the maximum and minimum values of sqrt(a^(2)cos^(2)theta + ...

    Text Solution

    |

  11. Find the set of possible values of (tan(x + pi/6))/tan x where x is an...

    Text Solution

    |

  12. Prove that for real x, (tan(x+alpha))/(tan(x-alpha)) where alpha ne pi...

    Text Solution

    |

  13. Show that (sec^(2)theta - tan theta)/(sec^(2)+ tan theta) lies betwe...

    Text Solution

    |

  14. Prove that tan alpha + 2tan 2alpha + 4tan 4alpha + 8cot 8alpha = cot ...

    Text Solution

    |

  15. Find the sum: tan x + 1/2 tan x/2+ 1/2^(2) tan x/2^(2) +.....+1/2^(n-...

    Text Solution

    |

  16. Prove that cosec 2alpha = cot alpha - cot 2alpha. Hence or otherwise ...

    Text Solution

    |

  17. Prove that sum(r=1)^(10) = sin^(2) rpi/18 =5.

    Text Solution

    |

  18. Sum the series: sin alpha - sin 2alpha + sin 3alpha - sin 4alpha + .....

    Text Solution

    |

  19. Find sum(r=1)^(10) cos^(3) rpi/3.

    Text Solution

    |

  20. Sum: sqrt(1 + sin 2alpha) + sqrt(1 + sin 4alpha) + sqrt(1 + sin 6alpha...

    Text Solution

    |