Home
Class 12
MATHS
cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)...

`cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)`

A

`tan^(-1).(27)/(11)`

B

`sin^(-1).(11)/(27)`

C

`cos^(-1).(11)/(27)`

D

`cot^(-1).(27)/(11)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Competitive Thinking|218 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

Prove that : tan^(-1)(1/2) + tan^(-1)(1/3) = tan^(-1)(3/5) + tan^(-1)(1/4) = pi/4

Prove that tan ^(-1)(1/5) + tan^(-1)(1/7) +tan^(-1)(1/3)+ tan ^(-1)(1/8) = pi/4

Prove that- tan^-1(1/2)+tan^-1(1/5)+tan^-1(1/8)=pi/4

Which of the following is/are correct? tan[cos^(-1)(4)/(5)+tan^(-1)(2)/(3)]=(17)/(6)cos[tan^(-1)(1)/(3)+tan^(-1)(1)/(2)]=(1)/(sqrt(2))cos2tan^(-1)((1)/(3))+cos(tan^(-1)2sqrt(2))=(14)/(15)cos[2cos^(-1)(1)/(5)+sin^(-1)(1)/(5)]=-(2sqrt(6))/(6)

Show that 1/2 cos^-1 (3/5) = tan^-1 (1/2) =pi/4 - 1/2 cos^-1( 4/5)

tan^(-1)((4)/(7))-tan^(-1)((1)/(5))=tan^(-1)((1)/(3))

Prove that : tan^(-1)(1)/(5)+tan^(-1)(1)/(7)+tan^(-1)(1)/(3)+tan^(-1)(1)/(8)=(pi)/(4)

Prove that tan^ (-1)( 1/3) +tan^(-1)( 1/5) + tan^(-1) (1/7 )+tan^(-1) (1/8) = pi/4

The angle between tangents to the curves y=x^(2) and x^(2)=y^(2) at (1,1) is (A) cos^(-1)(4/5) (B) sin^(-1)(3/5) (C) tan^(-1)(3/4) (D) tan^(-1)(1/3)

Prove the following: 4tan^(-1)(1)/(5)-tan^(-1)(1)/(70)+tan^(-1)(1)/(99)=(pi)/(4)2tan^(-1)(1)/(5)+sec^(-1)(5sqrt(2))/(7)+2tan^(-1)(1)/(8)=(pi)/(4)

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. If (tan^-1x)^2 + (cot^-1x)^2 =(5 pi^2)/8 then x equals :

    Text Solution

    |

  2. cos(tan^(-1)((1)/(3))+tan^(-1)((1)/(2)))=

    Text Solution

    |

  3. cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)

    Text Solution

    |

  4. If "tan"^(-1)(x-1)/(x-2)+"tan"^(-1)(x+1)/(x+2)=(pi)/4, find x

    Text Solution

    |

  5. cot^-1[(cot)^(1/2)]+tan^-1[(cotalpha)^(1/2)=x then sin x= (A) 1 (B) co...

    Text Solution

    |

  6. If tan^(-1).(a+x)/(a) + tan ^(-1) ((a-x)/(a)) = (pi)/(6) then prove th...

    Text Solution

    |

  7. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

    Text Solution

    |

  8. सिद्ध कीजिए - tan^(-1).(3)/(4)+tan^(-1).(3)/(5)-tan^(-1).(8)/(19)=(p...

    Text Solution

    |

  9. If x^2 + y^2 + z^2 = r^2 and x, y, z > 0, then tan^-1((xy)/(zr))+tan...

    Text Solution

    |

  10. If cj >0 for i=1,2, , n , prove that tan^(-1)((c1x-y)/(c1y+x))+tan^(-...

    Text Solution

    |

  11. If a1, a2,a3, ,an is an A.P. with common difference d , then prove th...

    Text Solution

    |

  12. tan[2tan^(- 1)(1/5)+pi/4]

    Text Solution

    |

  13. sin[3sin^(-1)((1)/(5))] is equal to

    Text Solution

    |

  14. The value of cot[cos^(-1)(7/25)] is

    Text Solution

    |

  15. If cos(2sin^(-1)x)=1/9, then find the values of xdot

    Text Solution

    |

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

    Text Solution

    |

  17. If: tan^(-1)x = sin^(-1)(3/sqrt(10)), then: x=

    Text Solution

    |

  18. If we consider only the principal values then the value inverse trigon...

    Text Solution

    |

  19. sin^(-1)""1/sqrt5+cot^(-1)3=pi/4

    Text Solution

    |

  20. If |(cos(A+B),-sin(A+B),cos2B),(sinA,cosA, sinB),(-cosA, sinA, cosB)|=...

    Text Solution

    |