Home
Class 10
MATHS
If A+B=90^(@)andtanA=(3)/(4), then value...

If `A+B=90^(@)andtanA=(3)/(4),` then value of cot B is

A

`(3)/(4)`

B

`(4)/(3)`

C

`(3)/(5)`

D

`(4)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Given that `A+B=90^(@)or,A=90^(@)-B`
`:.tanA=(3)/(4)impliestan(90^(@)-B)=(3)/(4)impliescot=(3)/(4)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

  • TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|66 Videos

  • VARIATION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|59 Videos

Similar Questions

Explore conceptually related problems

If A+B = 90^@ and tanA = 3/4 then the value of cotB is

If A+B = 90^@ and sin A = 1/3 , then sec B=

If P(A)=(3)/(7), P(B)=(4)/(7) and P(A cap B)=(2)/(9) , then the value of P(A//B) is -

If A + B = 225^(@), "then the value of"(1+cot A)/(cot A). (1 + cot B)/(cot B) "is"-

If A+B=90^(@) , then the value of sin^(2)A+sin^(2)B=

If tan A=3/4 and tan B=4/3 ,the value of (A+b) is

If det, (A-B) ne 0, A^(4)=B^(4), C^(3) A=C^(3)B and B^(3)A=A^(3)B , then find the value of det. (A^(3)+B^(3)+C^(3)) .

If in A B C ,A C is double of A B , then the value of cot(A/2)cot((B-C)/2) is equal to

The value of tan cot^(-1)(-4/3) is

If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b , then the value of a+b is (a) cot(pi/8) (b) cot((5pi)/12) (c) tan((5pi)/12) (d) tan((5pi)/8)

CALCUTTA BOOK HOUSE-TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES -EXERCISE
  1. If A+B=90^(@)andtanA=(3)/(4), then value of cot B is

    Text Solution

    |

  2. If A, B, C are the angles of a triangle then tan ((B+C)/2)=

    Text Solution

    |

  3. (sin21^(@)30')/(cos68^(@)30')

    Text Solution

    |

  4. (sin52^(@)+cos38^(@))/(sin38^(@)+cos52^(@))

    Text Solution

    |

  5. If sec9theta=cosec9theta, then the value of theta is equal to

    Text Solution

    |

  6. If the sum of any two acute angles be 180^(@), then they are called cm...

    Text Solution

    |

  7. If sin(theta+36^(@))=costheta then the value of theta" is "27^(@)

    Text Solution

    |

  8. The complementary angle of 90^(@) is

    Text Solution

    |

  9. If in DeltaABC,angleC=90^(@) then 1+tan^(2)A

    Text Solution

    |

  10. If theta=0^(@) then the trigonometrical ratio tangent of complementary...

    Text Solution

    |

  11. Find the value of cos1^(@)cos2^(@)cos3^(@).............cos180^(@)

    Text Solution

    |

  12. If 0^(@)angletheta angle20^(@), then find the value of theta when sin^...

    Text Solution

    |

  13. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then then the value of (x...

    Text Solution

    |

  14. If X, Y, Z are the angles of a DeltaXYZ then prove that cos^(2)""(X)/...

    Text Solution

    |

  15. If x=acos(90^(@)-theta)andy=bcot(90^(@)-theta), then prove that (a^(2)...

    Text Solution

    |

  16. Prove that (1+sec22^(@)+cot68^(@))(1-cosec22^(@)+tan68^(@))=2

    Text Solution

    |

  17. If angleA+angleB=90^(@) then prove that 1+(cotA)/(cotB)=cosec^(2)A

    Text Solution

    |

  18. If alpha+beta=90^(@), then find the value of cotbeta+cosbeta-(cosbeta)...

    Text Solution

    |

  19. Find the value of (5sin75^(@)sin77^(@)+2cos13^(@)cos15^(@))/(cos15^(@)...

    Text Solution

    |

  20. If alpha+beta=90^(@) then prove that cosec^(2)alpha+cosec^(2)beta=cose...

    Text Solution

    |

  21. Prove that sec^(2)11^(@)-(1)/(tan^(2)79^(@))=1.

    Text Solution

    |