Home
Class 12
MATHS
Prove that tan("pi"/4+1/2"cos"^(-1)"\ \ ...

Prove that `tan("pi"/4+1/2"cos"^(-1)"\ \ ""a"/"b")+"tan\ "("pi"/4+1/2"cos"^(-1)"\ \ ""a"/"b")=(2"b")/"a"` .

A

`(2a)/(b)`

B

`(2b)/(a)`

C

`(a^(2)+b^(2))/(b) `

D

`(a^(2)+b^(2))/(a) `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE (B) Properties of triangles|27 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - B : MASTERING THE BEST|58 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise HARDER SOLVED EXAMPLES|43 Videos
  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos
  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

Prove that tan(pi/4 +1/2 cos^(-1) (a/b)) + tan^(-1) (pi/4 -1/2 cos^(-1) (a/b)) =2b/a

Prove that tan[pi/4+1/2cos^(-1)""a/b]+tan[pi/4-1/2cos^(-1)""a/b]=2b/a

Prove that tan((pi)/(4)+(1)/(2)cos^(-1)((a)/(b)))+tan((pi)/(4)-(1)/(2)cos^(-1)((a)/(b)))=(2b)/(a)

Prove that: tan^(-1){(pi)/(4)+(1)/(2)(cos^(-1)a)/(b)}+tan{(pi)/(4)-(1)/(2)(cos^(-1)a)/(b)}=(2b)/(a)

tan((pi)/(4) +(1)/(2)"cos"^(-1)(a)/(b))+ tan((pi)/(4) - (1)/(2)"cos"^(-1)(a)/(b)) is :

Prove the following: tan[(pi)/(4)+(1)/(2)cos^(-1)((a)/(b))]+tan[(pi)/(4)-(1)/(2)cos^(-1)((a)/(b))]=(2b)/(a)

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
  1. If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1)...

    Text Solution

    |

  2. If xge1 , " then :" 2 tan^(-1)x+sin^(-1)((2x)/(1+x^(2)))=...

    Text Solution

    |

  3. Prove that tan("pi"/4+1/2"cos"^(-1)"\ \ ""a"/"b")+"tan\ "("pi"/4+1/2"c...

    Text Solution

    |

  4. Show that: cos(2tan^(-1)1/7)=sin(4^(-1)1/3)

    Text Solution

    |

  5. If x=sin(2tan^(- 1)2), y=sin(1/2tan^(- 1)(4/3)) , then -

    Text Solution

    |

  6. cos^(-1)((1)/2)+2sin ^(-1)((1)/(2))=...

    Text Solution

    |

  7. Find the value of sin(1/2cot^(-1)(-3/4))

    Text Solution

    |

  8. tan [cos^(-1)((4)/(5)) +tan ^(-1)((2)/(3))]=....

    Text Solution

    |

  9. Evaluate: tan^(-1)(tan(5pi)/6)+cos^(-1){cos((13pi)/6)}

    Text Solution

    |

  10. Find the value of expression: sin(2tan^(-1)1/3)+cos(tan^(-1)2sqrt(2))

    Text Solution

    |

  11. If a=cos (2.tan^(-1).(1)/(7))and b = sin (4.tan^(-1).(1)/(3))

    Text Solution

    |

  12. If: cos(tan^(-1)x)=sin (cot^(-1).(3)/(4)), then : x =

    Text Solution

    |

  13. Find the value of sin^(-1) ( cos. ( 33pi)/5) .

    Text Solution

    |

  14. If cos((sin^(-1)2)/5+cos^(-1)x)=0 find the value of xdot

    Text Solution

    |

  15. If tan^(-1) x + tan^(-1) y = (4pi)/(5), then cot^(-1) x + cot^(-1) y ...

    Text Solution

    |

  16. If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1)...

    Text Solution

    |

  17. tan((1)/(2).cos^(-1).(2)/(sqrt(5)))=

    Text Solution

    |

  18. If : cos^(-1)x+cos^(-1)y+cos^(-1)z=3pi, " then :" x (y+z)+y(z+x)+z(x+y...

    Text Solution

    |

  19. If y=2 tan ^(-1) x + sin^(-1) ((2x)/(1+x^(2))) " then: " y in

    Text Solution

    |

  20. If tan^(-1)(a/x) + tan^(-1)(b/x) =pi/2, then: x=

    Text Solution

    |