Home
Class 12
MATHS
The value of (cot54^(@))/(tan36^(@))+(ta...

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

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C

`(cot54^(@))/(tan36^(@))+(tan20^(@))/(cot70^(@))=(cot(90^(@)-36^(@)))/(tan36^(@))+(tan(90^(@)-70^(@)))/(cot70^(@))`
`=(tan36^(@))/(tan36^(@))+(cot70^(@))/(cot70^(@))=1+1=2`
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

The value of (cot 54^(@))/(tan 36^(@)) + (tan 20^(@))/(cot 70^(@)) is

(cot(54)^(@))/(tan(36)^(@)))+((tan(20)^(@))/(cot(70)^(@)))

Find the value of cot54^@/(tan36^@)+tan20^@/(cot70^@)

Evaluate : 2((cos65^(@))/(sin25^(@)))-(tan20^(@))/(cot70^(@))-sin90^(@)+tan5^(@)tan35^(@)tan60^(@)tan55^(@)tan85^(@)

The value of (tan70^(@)-tan20^(@))/(tan50^(@))=

The value of (tan 70^(@) - tan 20^(@))/( tan 50^(@))=

Find the value of (cot25^(@)+cot55^(@))/(tan25^(@)+tan55^(@))+(cot55^(@)+cot100^(@))/(tan55^(@)+tan100^(@))+(cot100^(@)+cot25^(@))/(tan100^(@)+tan25^(@))

Find the value of (tan 9^(@)+cot9^(@))/(tan27^(@)+cot27^(@)) .

The value of (cot30^(@)-cot75^(@))/(tan15^(@)-tan60^(@)) is

NDA PREVIOUS YEARS-TRIGONOMETRY - RATIO & IDENTITY , TRIGONOMETRIC EQUATIONS-MCQ
  1. Let f(x)=("cosec "x+cotx-1)/(1+cotx-"cosec "x). The Primitive of f(x)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If cosx=(1)/(3), then what is sin x. cot x. cosec x. tanx equal to ...

    Text Solution

    |

  9. The complete solution of 3tan^(2)x=1 is given by :

    Text Solution

    |

  10. Find the Value of cos 36^@ or sin 54^@

    Text Solution

    |

  11. Conisder the following statements : 1. Value of sin theta osc...

    Text Solution

    |

  12. Consider the following statements I. n (sin^2 (67 1/2^@) -sin^2 (22 1/...

    Text Solution

    |

  13. Consider the following statements : 1. 3theta is an acute angle...

    Text Solution

    |

  14. Consider the following statements I. sin | x | + cos | x | is always ...

    Text Solution

    |

  15. What is (1+sinA)/(1-sinA)-(1-sinA)/(1+sinA)equal to ?

    Text Solution

    |

  16. What is (cot224^(@)-cot134^(@))/(cot226^(@)+cot316^(@)) equal to ?

    Text Solution

    |

  17. cos2 0^(@)+cos10 0^(@)+cos14 0^(@)=

    Text Solution

    |

  18. What is sin^(2)(3pi)+cos^(2)(4pi)+tan^(2)(5pi) equal to ?

    Text Solution

    |

  19. What is sqrt(1+sin2theta) equal to ?

    Text Solution

    |

  20. If cot A = 2 and cot B = 2 , then what is the value of A +B ?

    Text Solution

    |