Home
Class 12
MATHS
Find the values of the following trigono...

Find the values of the following trigonometric ratio: `tan(-585^0)`

A

1

B

`-1`

C

`-sqrt(2)`

D

`-sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
`tan(-58^(@))=-tan585^(@)`
`=-tan[540^(@)+45^(@)]=-tan[3pi+(pi)/(4)]`
`=-[(tan3pi+"tan"(pi)/(4))/(1-tan3pi" tan "(pi)/(4))]`=-[(0+1)/(1-0xx1)]=-1`
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    NDA PREVIOUS YEARS|Exercise MCQs|204 Videos

  • VECTORS

    NDA PREVIOUS YEARS|Exercise MATH|199 Videos

Similar Questions

Explore conceptually related problems

Find the values of the following trigonometric ratios :

Find the values of the following trigonometric ratio: tan315^(@)

Find the values of the following trigonometric ratio: sin(-1125^(@))

Find the values of the following trigonometric ratio: sin510^(0)

Find the values of the following trigonometric ratio: s in4530^(0)

Find the values of the following trigonometric ratio: sin315^(@)

Find the values of the following trigonometric ratio: cos855^(@)

Find the values of the following trigonometric ratio: sin1845^(@)

Find the values of the following trigonometric ratio: (tan(11 pi))/(6)

Find the values of the following trigonometric ratio: s in3060^(0)

NDA PREVIOUS YEARS-TRIGONOMETRY - RATIO & IDENTITY , TRIGONOMETRIC EQUATIONS-MCQ
  1. find the value of sin18^0 and cos36^0

    Text Solution

    |

  2. If secalpha=(13)/(5) where 270^(@)ltalphalt360^(@) then what is sin al...

    Text Solution

    |

  3. Find the values of the following trigonometric ratio: tan(-585^0)

    Text Solution

    |

  4. Consider the following statements I. The value of cos 46^@ -sin 46^@ i...

    Text Solution

    |

  5. The angle subtended at the centre of a circle of radius 3 cm by an arc...

    Text Solution

    |

  6. If sinA=(2)/(sqrt(5))andcosB=(1)/(sqrt(10)) where A and B are acute an...

    Text Solution

    |

  7. If "cosec"theta+cottheta=c, then what is costheta equal to ?

    Text Solution

    |

  8. If sintheta+2costheta=1, then what is 2sintheta-costheta equal to ?

    Text Solution

    |

  9. If A+B=90^(@), then what is sqrt(sinAsecB-sinAcosB)equal to ?

    Text Solution

    |

  10. What is tan^(4)A-sec^(4)A+tan^(2)A +sec^(2)A equal to ?

    Text Solution

    |

  11. What is the value of tan 105^(@)?

    Text Solution

    |

  12. If tanA=x+1andtanB=x-1, then x^(2)tan(A-B) has the value :

    Text Solution

    |

  13. What is the value of (sin^(4)theta-cos^(4)theta+1)"cosec"^(2)theta?

    Text Solution

    |

  14. Let f(x)=("cosec "x+cotx-1)/(1+cotx-"cosec "x). The Primitive of f(x)...

    Text Solution

    |

  15. What is (1-"tan"^(2)(x)/(2))/(1+"tan"^(2)(x)/(2))equal to :

    Text Solution

    |

  16. The value of (cot54^(@))/(tan36^(@))+(tan20^(@))/(cot70^(@)) is

    Text Solution

    |

  17. What is sin^(2)20^(@)+sin^(2)70^(@) equal to ?

    Text Solution

    |

  18. What is (1-sin^(2)theta)(1+tan^(2)theta) equal to ?

    Text Solution

    |

  19. What is tan 15^(@) equal to ?

    Text Solution

    |

  20. Consider the following : 1. tan((pi)/(6)) 2. tan((3pi)/...

    Text Solution

    |