Home
Class 11
MATHS
The value of "tan"1^0tan2^0t a n3^0........

The value of `"tan"1^0tan2^0t a n3^0........t a n 89^0` is a. `0` b. `1` c. `1//2` d. not defined

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Find the value of log tan1^0logtan2^0...........logtan89^0

Find the value of log tan1^0logtan2^0...........logtan89^0

Show that tan1^0tan2^0tan89^0=1

The value of tan6^0tan42^0tan66^0tan78^0 is (a)1 (b) 1/2 (c) 1/4 (d) 1/8

Prove that: \ t a n 20^0t a n 30^0t a n 40^0t a n 80^0=1

The value of ((1+t a n 11^0)(1+t a n 34^0))/((1+t a n 17^0)(1+t a n 28^0)) is equal to a. 1 b. 2 c. 4 d. none of these

Prove that: t a n 20^0tan40^0tan60^0tan80^0=3

The value of tan1otan2otan3oddottan89o is (a) 1 (b) -1 (c) 0 (d) None of these

Prove that: t a n 70^0=t a n 20^0+2t a n 50^0dot

Prove that: t a n 70^0=t a n 20^0+2t a n 50^0dot

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If 3sintheta+5costheta=5, then write the value of 5sin theta-3costheta...

    Text Solution

    |

  2. If t a ntheta=x-1/(4x) , then s e ctheta-t a ntheta is equal to (a) -2...

    Text Solution

    |

  3. If pi/2 < theta < (3pi)/2 then sqrt ((1-sin theta)/(1+sin theta))= a. ...

    Text Solution

    |

  4. If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. co...

    Text Solution

    |

  5. If sec theta= x+1/(4x) then sec theta+ tan theta= (a) x, 1/(x), (b) 2x...

    Text Solution

    |

  6. If pi/2ltthetaltpi, then sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sinth...

    Text Solution

    |

  7. If tanθ+secθ=√3,0 <θ<π, then θ is equal to a. (5pi)/6 b. (2pi)/3 c. pi...

    Text Solution

    |

  8. If t a ntheta=-1/(sqrt(5)) and theta lies in the IV quadrant, then the...

    Text Solution

    |

  9. sin^6A+cos^6A+3sin^2A cos^2A=\ a. 0 b. 1 c. 2 d. 3

    Text Solution

    |

  10. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

    Text Solution

    |

  11. If theta is an acute angle and t a ntheta=1/(sqrt(7)) , then the value...

    Text Solution

    |

  12. sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=

    Text Solution

    |

  13. If t a n A+cot A=4, then tan^4A+cot^4A is equal to 110 b. 191 c. 80 d....

    Text Solution

    |

  14. If xsin45^0cos^2 60^0=(tan^2 60^0cos e c\ 30^0)/(s e c 45^0cot^2 30^0)...

    Text Solution

    |

  15. If cos e ctheta+cottheta=(11)/2 , then t a ntheta= (21)/(22) (b) (15...

    Text Solution

    |

  16. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

    Text Solution

    |

  17. If s e ctheta+t a ntheta=k ,\ costheta= a.(k^2+1)/(2k) b. (2k)/(k^2+1...

    Text Solution

    |

  18. Which of the following is incorrect? a. sintheta=-1//5 b. costheta=1 c...

    Text Solution

    |

  19. The value of cos1^@. cos2^@. cos 3^@....cos 179^@= a. 1/sqrt2, b.0, c....

    Text Solution

    |

  20. The value of "tan"1^0tan2^0t a n3^0........t a n 89^0 is a. 0 b. 1 c. ...

    Text Solution

    |