Home
Class 12
MATHS
If (tan3A)/(tanA)=k, then (sin3A)/(sinA)...

If `(tan3A)/(tanA)=k,` then `(sin3A)/(sinA)=`

A

`(2k)/(k-1), k inR`

B

`(2k)/(k-1), k in[1//3,3]`

C

`(2k)/(k-1), k !in[1//3,3]`

D

`(k-1)/(2k), k !in[1//3,3]`

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 (tan3A)/(tan A)=k, then (sin3A)/(sin A)=

If (tan 3A)/(tan A)=k , show that ( sin 3A)/(sin A)= (2k)/(k-1) and hence or otherwise prove that either k gt 3 or k lt 1/3 .

If tan 3A /tan A =k , show that sin 3A/sin A = 2k/k-1 an and k cannot Second Method lie between 1/3 and 3.

If : (tan 3 A+tan A)/(tan 3A - tanA)=(sin(mA)/(sin(nA))) then (m,n)= (a) (2,3) (b)(3,4) (c)(4,2) (d) (1,2)

If (tan3A)/(tan A)=lambda then a possible value of (sin3A)/(sin A) is (A) (8)/(3) if lambda=3 (B) 1 if lambda=-1 (C) (1)/(5) if lambda=(-1)/(9) (D) 4 if lambda=2

If (tan3A)/(tan A)=k(k!=1) then which of the following is not true? (a) (cos A)/(cos3A)=(k-1)/(2)(b)(sin3A)/(sin A)=(2k)/(k-1)(c)(cot3A)/(cot A)=(1)/(k)(d) none of these

Prove that (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA) .

If tan3A=(3 tan A+k tan^(3)A)/(1-3 tan^(2)A) , then k is equal to

(tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. the value of tan9^@-tan2 7^@-tan6 3^@+tan8 1^@ is equal to

    Text Solution

    |

  2. For x in R, tanx+1/2tan""(1)/(2^(2))tan""(x)/(2^(2))+...+(1)/(2^(n-1...

    Text Solution

    |

  3. If (tan3A)/(tanA)=k, then (sin3A)/(sinA)=

    Text Solution

    |

  4. If y=(sec^(2)theta-tantheta)/(sec^(2)theta+tantheta)'then

    Text Solution

    |

  5. If cosA=tanB, cos B=tanC, cosC=tanA, then sin A is equal to

    Text Solution

    |

  6. If A(1)A(2)A(3)A(4)A(5) be regular pentgon inscribed in anunit circle....

    Text Solution

    |

  7. If tanalpha is equal to the integral solution of the inequality 4x^2-1...

    Text Solution

    |

  8. If (x)/(cos theta)=(y)/(cos(theta-(2pi)/(2)))=(2)/(cos(theta+(2pi)/(3)...

    Text Solution

    |

  9. If cos A=3/4 then the value of sin(A/2) sin((5A)/2) is

    Text Solution

    |

  10. The minimum value of 9tan^2theta+4cot^2theta is

    Text Solution

    |

  11. If x(1),x(2),x(3),...,x(n) are in A.P. whose common difference is alph...

    Text Solution

    |

  12. If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d and atanx=btany then a^2/b^2=.....

    Text Solution

    |

  13. If a (n+1)=sqrt((1)/(2)(1+a(n)))then cos((sqrt(1-a(0)^(2)))/(a(1)a(2)a...

    Text Solution

    |

  14. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  15. The value of cosycos(pi/2-x)-cos(pi/2-y)cosx+sinycos(pi/2-x)+cosxsin(p...

    Text Solution

    |

  16. If cosx-sinalphacotbetasinx=cosalpha,then tan""(x)/(2) is equal to

    Text Solution

    |

  17. The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(...

    Text Solution

    |

  18. If sin alpha -cos alpha = m, then the value of sin^6alpha+cos^6alpha i...

    Text Solution

    |

  19. if 0<=x<=pi and 81^(sin^2x)+81^(cos^2x)=30 then x=

    Text Solution

    |

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

    Text Solution

    |