Home
Class 11
MATHS
If (tan 3A)/(tan A)=k, show that ( sin ...

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`.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

Prove that : 2sin^-1 (3/5) = tan^-1 (24/7)

If theta+phi= alpha and tan theta=k tan phi , prove that : sin alpha=(k+1)/(k-1) sin (theta-phi) .

If A+B = alpha and sin A =k sin B , show that : tanA= (k sin alpha)/(1+k cos alpha) .

Prove that 2sin^(-1)""(3)/(5)=tan^(-1)""(24)/(7)

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

Prove that cos(2tan^-1 1/7) = sin ( 4 tan^-1 1/3)

Find k if the points (2,-3), (k , 1) and (0,4) are collinear.

Determine k so that k+2, 4k-6 and 3k-2 are three consecutive terms of an A.P.

Let S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 + k^2 . Then which of the following is true ?

If x=2k-1 and y=k is a solution of the 3x-5y-9=0 find the value of k.

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If A=sin^(2)x+cos^(4)x, then for all real x

    Text Solution

    |

  2. The possible values of theta in (0,pi) such that sin (theta)+sin(4 th...

    Text Solution

    |

  3. Prove that 3/4 le cos^2 theta +sin^4 thetale1. Hence deduce that 3/4 l...

    Text Solution

    |

  4. Prove that : (2 cos 2^n theta +1)/(2cos theta +1)= (2cos theta-1)(2cos...

    Text Solution

    |

  5. Prove that tan alpha+2tan 2 alpha+4 tan 4 alpha+ 8 cos 8 alpha=cot a...

    Text Solution

    |

  6. Solve: 2 (cos x + cos 2x) + sin 2x (1 + 2 cos (x))=2 sinx,-pi le x le ...

    Text Solution

    |

  7. Find the values of x in (-pi, pi), which satisfy the equation : 8^(1+|...

    Text Solution

    |

  8. If p tan theta = tan p theta, then show that : (sin^2 p theta)/(sin^2 ...

    Text Solution

    |

  9. If a+b+c=0, then what is the value of a^2/(bc)+b^2/(ca)+c^2/(ab)

    Text Solution

    |

  10. Given the product p of sines of the angles of a triangle and the produ...

    Text Solution

    |

  11. In a triangle ABC, if (sinA)/(sinC)=(sin(A-B))/(sin(B-C)). Prove that...

    Text Solution

    |

  12. If (tan 3A)/(tan A)=k, show that ( sin 3A)/(sin A)= (2k)/(k-1) and he...

    Text Solution

    |

  13. Prove that : (tan 5 theta+tan3 theta)/(tan 5 theta- tan3 theta)= 4 c...

    Text Solution

    |

  14. Prove that : sin x sin y sin (x - y) + sin y sin z sin (y- z)+ sin z ...

    Text Solution

    |

  15. Solve the equation : sin theta+sin 3 theta+ sin 5 theta =0.

    Text Solution

    |

  16. Solve : sec theta-cosec theta =4/3.

    Text Solution

    |

  17. Solve : 5 sin x cos y = 1, 4 tan x = tan y.

    Text Solution

    |

  18. If A,B,C are the angles of a triangle and sin^3 theta= sin (A- theta)s...

    Text Solution

    |

  19. If the sides a, b, c of a triangle are in A.P., then find the value of...

    Text Solution

    |

  20. Two sides of a triangle are of lengths sqrt6 and 4 and the angle oppos...

    Text Solution

    |