Home
Class 12
MATHS
If tan 69^(@) + tan 66^@ - tan 69^(@) t...

If ` tan 69^(@) + tan 66^@ - tan 69^(@) tan66^@=2k` , then the value of k is

A

`-1`

B

`1//2`

C

`-1//2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 D ( TRANSFORMATIONS )|94 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)|147 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If (1- tan2^(@) cot 62^(@))/( tan 152^(@) - cot88^(@))=ksqrt(3) , then value of k is

In triangle ABC, tan A + tan B + tan C = 6 and tanA tanB = 2, then the values of tan A, tan B, tan C are, respectively:

Prove that tan A. (tan 60^(@) +A). Tan (60^(@)-A)=tan 3A and hence find the value of tan 6^(@) tan 42^(@) tan 66^(@) tan 78^(@) .

If an angle alpha is divided into two parts A and B such that A-B=x and tan A: tan B=k:1 , then the value of sin x is

The value of tan6^@ tan42^@ tan66^@ tan78^@ is

The value of tan 9^(@) - tan 27^(@) - tan 63^(@) + tan 81^(@) is

If tan(pi//4+ theta ) + tan(pi//4- theta )= k sec 2 theta , then the value of k is .

If A=tan6^(@) tan42^(@), B=cot66^(@) cot78^(@) then

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
  1. tan 75^(@) - tan 30^@ - tan 75^(@) * tan 30^*(@) =

    Text Solution

    |

  2. The value of (tan 80^@ - tan 10^(@))/( tan 70^(@))

    Text Solution

    |

  3. If tan 69^(@) + tan 66^@ - tan 69^(@) tan66^@=2k , then the value of ...

    Text Solution

    |

  4. tan A cot (A//2)-1=

    Text Solution

    |

  5. tan 5x- tan 3x - tan 2x =

    Text Solution

    |

  6. cos^(2) (A-B)+cos^(2)B-2cos(A-B) cos A cos B =

    Text Solution

    |

  7. Prove that sin^(2)alpha + cos^(2) (alpha + beta) + 2 sin alpha sin bet...

    Text Solution

    |

  8. (cos 15^(@) + sin 15^(@))/(cos 15^(@) - sin 15^(@)) =

    Text Solution

    |

  9. (tan (45^(@) + alpha ) + tan ( 45^(@) - alpha ))/( cot (45^(@) + alpha...

    Text Solution

    |

  10. (tan 23^(@) + tan 22^(@))/(1- tan23^(@) * tan 22^(@))=

    Text Solution

    |

  11. If (1- tan2^(@) cot 62^(@))/( tan 152^(@) - cot88^(@))=ksqrt(3) , then...

    Text Solution

    |

  12. ((1+ tan 32^@)(1+tan 13^(@)))/((1+tan23^(@))(1+tan22^(@)))=

    Text Solution

    |

  13. The value of (tan 80^@ - tan 10^(@))/( tan 70^(@))

    Text Solution

    |

  14. (tan alpha + tan beta )/( tan (alpha + beta ))+(tan alpha - tan beta )...

    Text Solution

    |

  15. If sin ( theta + alpha ) = cos ( theta + alpha ), then tan theta =

    Text Solution

    |

  16. If tan(A+B)=m , tan (A-B)=n, " then " tan 2A=

    Text Solution

    |

  17. If tan (A+B)=p , tan (A-B)=q , " then " cot 2B=

    Text Solution

    |

  18. If tan theta1= k cot theta2 " then " (cos (theta1- theta2))/(cos(thet...

    Text Solution

    |

  19. If tan A =18//17 , tan B=1//35 then tan (A-B)=

    Text Solution

    |

  20. If tan(pi//4 + theta ) + tan (pi//4 - theta ) =3 , " then " tan^(2)(p...

    Text Solution

    |