Home
Class 11
MATHS
(cos 10^0+sin 10^0)/(cos 10^0-sin 10^0) ...

`(cos 10^0+sin 10^0)/(cos 10^0-sin 10^0)` is equal to `tan55^0` b. `cos 55^0` c.`-tan35^0` d. `-cot35^0`

Text Solution

Verified by Experts

`LHS = ( Cos 10^@ + Sin 10^@ ) / ( Cos 10^@ - Sin 10^@)`

{ Multiply numerator and and denominator with 1 / Cos 10^@ }

=` [ 1 /Cos 10^@ ( Cos 10^@ + Sin 10^@ ) ] / [ 1/Cos 10^@ ( Cos 10^@ - Sin 10^@ ) ]`

=` [ Cos10^@ / Cos10^@ + Sin10^@ / Cos10^@ ] / [ Cos10^@ / Cos10^@ - Sin10^@ / Cos10^@ ]`

...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|167 Videos
  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|193 Videos

Similar Questions

Explore conceptually related problems

(cos^(2)1^(0)-cos^(2)2^(0))/(2sin3^(0)*sin1^(0)) is equal to

Prove that (cos10^(@)+sin10^(@))/(cos10^(@)-sin10^(@))=tan55^(@)

Prove that :(cos10^(@)-sin10^(0))/(cos10^(@)+sin10^(0))=tan35^(@)

cos25^(0)cos35^(0)-sin10^(0)sin20^(0) ,

(cos20^(0)+8sin70^(0)sin50^(@)sin10^(0))/(sin^(2)80^(@)) is equal to

Prove that: (cos11^(0)+sin11^(0))/(cos11^(0)-sin11^(0))=tan56^(@)

int_(0)^(10 pi)(|sin x|+|cos x|)dx is equal to

If 47^(0)+s in61^(0)-s in11^(0)-s in25^(0) is equal to a*sin36^(@) b.cos36^(@) c.cos7^(0) d.cos7^(0)

Show that sin70^(0)cos10^(0)-cos70^(0)sin10^(0)=(sqrt(3))/(2)

Evaluate each of the following: (a) cos(40^0-theta)-sin(50^0+theta)+(cos^2 40^0+cos^2 50^0)/(sin^2 40^0+sin^2 50^0) (b) (cos70^0)/(sin20^0)+(cos55^0cos e c35^0)/(tan5^0tan25^0tan45^0tan65^0tan85^0) (c) 2((cos58^0)/(sin32^0))-sqrt(3)((cos38^0cos e c52^0)/(tan15^0tan60^0t a n75^0))

RD SHARMA-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Solved Examples And Exercises
  1. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value o a b+b c+c ...

    Text Solution

    |

  2. If A+B=C , then write the value of tan A tanB tanCdot

    Text Solution

    |

  3. If sinalpha-sinbeta=a and cosalpha+cosbeta=b then write the value of c...

    Text Solution

    |

  4. The value of sin^2 75^0-sin^2 15^0 is 1//2 b. sqrt(3)//2 c. 1 d. 0

    Text Solution

    |

  5. If A+B+c=180^0,\ then s e c A(cos B cos C-sin B sin C) is equal to ...

    Text Solution

    |

  6. tan20^@+tan40^@+sqrt3 tan20^@ tan40^@= a.sqrt3/4, b. sqrt3/2, c. sqrt3...

    Text Solution

    |

  7. If tanA=a/(a+1) and tanB=1/(2a+1) then the value of A+B is 0 b. pi/2 c...

    Text Solution

    |

  8. If 3costheta+4costheta =5 then 4sintheta-3costheta is equal to

    Text Solution

    |

  9. tan3A-tan2A-tanA= a. tan3A tan2A tanA, b.-tan3A tan2A tanA, c.tanAtan...

    Text Solution

    |

  10. If A+B+C=180^@ , then (t a n A+t a n B+t a n C)/(t a n A\ t a n B\ t a...

    Text Solution

    |

  11. If cosP=1/7a n d\ cos Q=(13)/(14)w h e r e\ P\ a n d\ Q both are acute...

    Text Solution

    |

  12. If cot(alpha+beta)=0\ t h e n\ "sin"(alpha+2beta) is equal to a. sin...

    Text Solution

    |

  13. (cos 10^0+sin 10^0)/(cos 10^0-sin 10^0) is equal to tan55^0 b. cos ...

    Text Solution

    |

  14. The value of cos^2(pi/6+theta)-sin^2\ \ (pi/6-theta) is 1/2cos2theta b...

    Text Solution

    |

  15. If t a ntheta1t a ntheta2=k , then ("cos"(theta1-theta2))/("cos"(theta...

    Text Solution

    |

  16. If A-B=pi//4 , then (1+t a n A)(1-t a n B) is equal to a.2 b. 1 c. 0 d...

    Text Solution

    |

  17. The maximum value of sin^2(120^0+theta)+sin^2(120^0-theta) is 1//2 b. ...

    Text Solution

    |

  18. If cos(A-B)=3/5a n d\ t a n AtanB=2, t h e n cos A\ cosB=1/5 b. cosA...

    Text Solution

    |

  19. If tan69^@+t a n 66^@-tan69^@tan66^@=2k ,then k= a.-1 b. 1//2 c. -1//...

    Text Solution

    |

  20. If tanalpha=x/(x+1)\ and tanbeta=1/(2x+1),\ t h e n\ alpha+beta is equ...

    Text Solution

    |