Home
Class 12
MATHS
If cot^(-1)x + cot^(-1)y = tan^(-1)c, th...

If `cot^(-1)x + cot^(-1)y = tan^(-1)c,` then: x+y=

A

c(1+xy)

B

c(1-xy)

C

c(xy-1)

D

`-c(1+xy)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.1|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.2|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART-B: MASTERING THE BEST|27 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

cot^(-1)x=tan^(-1)x then

If cot^(-1)x+cot^(-1)y=cot^(-1)c," then "(dy)/(dx)=

If x and y are positive integers such that tan^(-1)x+cot^(-1)y=tan^(-1)3 , then:

cot(tan^(-1)x+cot^(-1)x)

If cot^(-1)x+cot^(-1)y+cot^(-1)z=(pi)/(2) , then x+y+z=

If cot^(-1)x + cot^(-1)y + cot^(-1)z = pi , prove that xy + yz + zx = 1 .

The number of positive integral solutions of tan^(-1)x + cot^(-1)y= tan^(-1)3 is :

Prove that sin cot^(-1) tan cos^(-1) x = sin cosec^(-1) cot tan^(-1) x = x, " where " x in [0,1]

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MASTERING THE BEST - ALL TOPICS
  1. If, in a triangleABC, tanA =1 and tanB=2, then: tanC=

    Text Solution

    |

  2. If tan A - tan B =x and cot B - cot A=y, then: cot(A-B)=

    Text Solution

    |

  3. If cot^(-1)x + cot^(-1)y = tan^(-1)c, then: x+y=

    Text Solution

    |

  4. sin^(2) 75^(@) - sin^(2)15^(@)=

    Text Solution

    |

  5. If triangleABC is a right angled at A, then: cos^(2)B + cos^(2)C=

    Text Solution

    |

  6. sin^(6)A + cos^(6)A + 3sin^(2)A.cos^(2)A=

    Text Solution

    |

  7. If cos(A-B) = 3/5 and tanA.tanB=2, then

    Text Solution

    |

  8. If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-co...

    Text Solution

    |

  9. If sin alpha/2 + cos alpha/2=1.4, then: sin alpha cos alpha=

    Text Solution

    |

  10. If tan alpha + cot alpha =m, then: tan^(4)alpha +cot^(4)alpha=

    Text Solution

    |

  11. If cos theta+cos phi=a and sin theta - sin phi=b, then: 2cos(theta + p...

    Text Solution

    |

  12. If sin x + "cosec"x=2, then, for all n in N, the value of: sin^(n)x + ...

    Text Solution

    |

  13. If sin^(-1)x= theta +phi and sin^(-1)y = theta - phi, then: 1+xy=

    Text Solution

    |

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

    Text Solution

    |

  15. If two angles of a triangle are cot^(-1)2 and cot^(-1)3, then the thir...

    Text Solution

    |

  16. sec^(2)(tan^(-1)2) +"cosec"^(2)(cot^(-1)3)=

    Text Solution

    |

  17. If sin^(-1)x + sin^(-1)y =(2pi)/3, then: cos^(-1)x +cos^(-1)y=

    Text Solution

    |

  18. Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

    Text Solution

    |

  19. If sinA+ sin B + sinC=(3sqrt(3))/2, then: triangleABC, is

    Text Solution

    |

  20. If cos^(2)A+cos^(2)B+cos^(2)C=1, then triangle ABC is

    Text Solution

    |