Home
Class 11
MATHS
Find the sign of the values of tan113^0-...

Find the sign of the values of `tan113^0-cos107^0=a` and `tan107^0-cos105^0=b`

Text Solution

Verified by Experts

`a=tan113-cos117`
`a=tan(180-67)-cos(180-73)`
`a=-tan67+cos73`
`a=cos73-tan67 `a<0`
`b=tan117-cos105`
`b=tan(180-73)-cos(180-75)`
`b=cos75-tan73ltcos75-tan45<0`
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Find the value of tan 105^@

Find the values: tan(-105^(@))

Find the values of cos 105^(@)

Find the value of cos12^0+cos84^0+cos156^0+cos132^0

The value of cos^2 10^0-cos10^0cos50^0+cos^2 50^0 is equal to

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

The value of cos e c10^0+cos e c50^0-cos e c70^0 is ____

If cos5theta=0 , then find the value of costheta .

Find the value of tan 44^@ , given tan1^@ = 0.01745 .

find the value of (2 tan 30^@ cos 60^@)/(1+tan^2 30^@)-(tan^2(45^@)-1/2cos60^@cos60^@)/(1-tan^2(30^@) .

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that sin 6^@ sin 42^@sin 66^@sin 78^@=1/16

    Text Solution

    |

  2. If the since of the angles A and B of a triangle ABCsatisfy the equati...

    Text Solution

    |

  3. Find the sign of the values of tan113^0-cos107^0=a and tan107^0-cos105...

    Text Solution

    |

  4. Solve the equation (sqrt(3))/2sinx-cosx=cos^2x

    Text Solution

    |

  5. Each question contains statements given in two columns which have to b...

    Text Solution

    |

  6. If xsina+ysin2a+zsin3a=sin4a, xsinb+ysin2b+zsin3b=sin4b, xsinc+ysin2...

    Text Solution

    |

  7. Prove that (sinx-cosx+1)/(sinx+cosx-1)=secx+tanx

    Text Solution

    |

  8. The lengths of the medians through acute angles of a right-angled tr...

    Text Solution

    |

  9. If 2tan^2x-5secx=1 is satisfied by exactly seven distinct values of x ...

    Text Solution

    |

  10. In a triangle tanA+tanB+tanC=6 and tanAtanB=2, then the values of tanA...

    Text Solution

    |

  11. If 2cosx+sinx=1, then find the value of 7cosx+6sinxdot

    Text Solution

    |

  12. If sinx+sinygeqcosacosxAA in R , then siny+cosa is equal to

    Text Solution

    |

  13. If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,co...

    Text Solution

    |

  14. In triangle A B C , if cotA cotC=1/2a n dcot B cotC=1/(18), then the v...

    Text Solution

    |

  15. Find the values of xa n dy for which cosec theta=(x^2-y^2)/(x^2+y^2) i...

    Text Solution

    |

  16. The set of all x in the interval [0,pi] for which 2sin^2x-3sinx+1geq0 ...

    Text Solution

    |

  17. If in a triangle (1-r1/r2)(1-r1/r3)=2,then the triangle is

    Text Solution

    |

  18. Let alpha and beta be the roots of the quadratic equation x^(2) sin th...

    Text Solution

    |

  19. A parallelogram containing a 60^0 angle has perimeter p and its longer...

    Text Solution

    |

  20. If r/(r1)=(r2)/(r3), then

    Text Solution

    |