Home
Class 12
MATHS
Prove that :(tan69^0+t a n 66^0)/(1-t a ...

Prove that `:(tan69^0+t a n 66^0)/(1-t a n 69^0t a n\ 66^0)=-1`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|55 Videos
  • VECTOR

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|112 Videos

Similar Questions

Explore conceptually related problems

Prove that :(tan69^(@)+tan66^(@))/(1-tan69^(@)tan66^(@))=-1

Prove that (i) "cos " 15^(@) - " sin " 15^(@) = (1)/(sqrt(2)) (ii) " cot " 105^(@) - " tan " 105^(@) =2sqrt(3) (iii) (tan 69^(@) + tan 66^(@))/(1-tan 69^(@) tan 66^(@)) =-1

Prove that:(i) "tan"69^(@)+"tan"66^(@)+1="tan"69^(@) "tan"66^(@) (ii) (cos13^(@)+"sin"13^(@))/(cos13^(@)-"sin"13^(@))="tan"58^(@)

Prove that: tan6^(0)tan42^(0)tan66^(@)tan78^(@)=1

Value of (cos 12^0+s in 12^0)/(cos 12^0-s in 12^0) is equal to t a n 417^0 b. t a n 237^0 c. t a n 57^0 d. t a n 663^0

If tan69+tan66-tan69tan66=2k then k=

If (1+t a n1^0)dot(1+t a n2^0)dot(1+t a n3^0)(1+tan45^0)=2^n , then ' n ' is equal to 16 b. 23 c. 3 0 d. none of these

If A+B+C=180^0 , then (t a n A+t a n B+t a n C)/(t a n A t a n B t a n C) is equal to t a n A t a n B t a n C b. 0 c. 1 d. none of these

Prove that t^(2) + 3t + 3 is a factor of ( t+1)^(n+1) + (t+2)^(2n -1) for all intergral values of n in N.

Solve the inequality : tan^2x-(sqrt(3)+1)\ t a n x+sqrt(3)<0

MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. Evaluate using multiple angle formula: cos15^@

    Text Solution

    |

  2. Evaluate using multiple angle formula: tan15^@

    Text Solution

    |

  3. Prove that :(tan69^0+t a n 66^0)/(1-t a n 69^0t a n\ 66^0)=-1

    Text Solution

    |

  4. Prove that: (cos 11^0+"sin"11^0)/(cos 11^0-"sin"11^0)=t a n 56^0

    Text Solution

    |

  5. Prove that (cos 8^(@) - sin 8^(@))/(cos 8^(@) + sin 8^(@)) = tan 3...

    Text Solution

    |

  6. Prove that: cos 80^0+cos 40^0-cos 20^0=0

    Text Solution

    |

  7. Prove that:cos420^@ sin390^@+ sin(-300^@)cos(-330^@)=1

    Text Solution

    |

  8. Prove that: ("sin"(A-B))/(s in A s in B)+("sin"(B-C))/(s in B s in C)+...

    Text Solution

    |

  9. Prove that: (sin(A+B)+"sin"(A-B))/(cos(A+B)+"cos"(A-B))=t a n A

    Text Solution

    |

  10. (sinA+sin3A)/(cosA+cos3A)=tan2A

    Text Solution

    |

  11. Prove that: (sinA+sinB)/(sinA-sinB) = tan(A+B)/(2). Cot(A-B)/(2)

    Text Solution

    |

  12. Prove that (cosx +cosy)^2+(sinx+siny)^2=4cos^2((x-y)/2)

    Text Solution

    |

  13. Solve for theta,(0^@ le theta le 360^@) 2sin^2theta+3 costheta=0

    Text Solution

    |

  14. Solve for theta,(0^@ le theta le 360^@) cos theta +sqrt3 sin theta=0

    Text Solution

    |

  15. Find the principal and general solutions of the equation sin x=sqrt3/2

    Text Solution

    |

  16. Find the principal and general solutions of the equation tan x=-1/sqrt...

    Text Solution

    |

  17. Find the principal and general solution of s e c x = 2

    Text Solution

    |

  18. Find the principal and general solutions of the equation sec x=-sqrt2

    Text Solution

    |

  19. Find the principal and general solutions of the equationsqrt2 cos x=1

    Text Solution

    |

  20. Find the principal and general solutions of the equationsqrt2 sin x+1=...

    Text Solution

    |