Home
Class 12
MATHS
If an angle theta is divided into two pa...

If an angle `theta` is divided into two parts A and B such that `A-B=x `and `tanA :tanB=k :1`, then the value of sinx is

A

`(K-1)/(K-1)sinalpha`

B

`(k)/(k+1)sinalpha`

C

`(k-1)/(k+1)sinalpha`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If an angle theta is divided into two parts A and B such that A-B=x and tan A:tan B=k:1, then the value of sink is

If an angle 'r' is divided in two parts A and B such that A-B=x and tan A: tan B=K:1 then the value of sin x is 1) (k+1)/(k-1)sin r, 2) (k)/(k+1)sin r 3) (k-1)/(k+1)sin r 4) None

If an angle alpha is divided into two parts A&B such that A-B=x and tan A:tan B=k:1 Then the value of sin x is (A) (k+1)/(k-1)sin alpha (k)/(k+1)sin alpha (C) (k-1)/(k+1)sin alpha (D) tan alpha

Angle a is divided into two parts A and B such that A - B = x and tan A:tan B = p:q. The value of sin x is equal to:

Angle alpha is divided into two parts A and B such that A -B = x and tan A : B = P : q . The value of sin x is equal to

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

If cos(A - B) = (3)/(5) and tanA tanB = 2, then the value of cosA cosB is _____

If angles A and B satisfy (1+tanA)(1+tanB)=2 , then the value of A +B is

If an angle alpha be divided into two parts such that the ratio of tangents of the parts is K. If x be the difference between the two parts , then prove that sinx = (K-1)/(K+1) sin alpha .

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If sinA+sinB=(pi)/(4),then (tanA+1)(tanB+1) is equal to

    Text Solution

    |

  2. If sinA+sinB=a and cosA+cosB=b,then cos(A+B)

    Text Solution

    |

  3. If an angle theta is divided into two parts A and B such that A-B=x an...

    Text Solution

    |

  4. The value of the expression 3(sin theta- cos theta)^4 + 6(sin theta ...

    Text Solution

    |

  5. If tan((theta)/(2))=5/2and tan((phi)/(2))=3/4, the value of cos(theta+...

    Text Solution

    |

  6. If alpha,beta, gamma in(0,(pi)/(2)), then prove that (Sin(alpha+beta+g...

    Text Solution

    |

  7. If sin x+siny=3(cosy-cosx),then the value of (sin3x)/(sin3y), is

    Text Solution

    |

  8. If cosx=tany,cos y=tanz cosz=tanx, then the value of sin x, is

    Text Solution

    |

  9. If k=sin^(6)c+cos^(6)x, then k belongs to the interval

    Text Solution

    |

  10. The value of tan9^@-tan2 7^@-tan6 3^@+tan8 1^@ is equal to

    Text Solution

    |

  11. 2tan^2 alpha tan^2 betatan^2gamma+tan^2 alpha tan^2beta+tan^2 betatan^...

    Text Solution

    |

  12. the value of e^(log(10)tan1^@+log(10)tan2^@+log(10)tan3^@....+log(10)t...

    Text Solution

    |

  13. For what and only what values of alpha lying between 0 and pi/2 is the...

    Text Solution

    |

  14. If (secA-tanA)(secB-tanB)(secC+tanC)=(secA+tanA)(secB+tanB)(secC-tanC)...

    Text Solution

    |

  15. If pi lt alpha lt (3pi)/2then the expression sqrt(4 sin^4alpha +sin^2 ...

    Text Solution

    |

  16. If alpha is an acute angle and sin(alpha/2)=sqrt((x-1)/(2x)) then tan ...

    Text Solution

    |

  17. Find the Value of tan 82 1/2^@

    Text Solution

    |

  18. The value of tan6^0tan42^0tan66^0tan78^0 is 1 (b) 1/2 (c) 1/4 (d)...

    Text Solution

    |

  19. The value of cot36^(@)cot72^(@), is

    Text Solution

    |

  20. The value of cospi/7+cos(2pi)/7+cos(3pi)/7+cos(4pi)/7+cos(5pi)/7+cos(6...

    Text Solution

    |