Home
Class 11
MATHS
If (3-tan^2(pi/7))/(1-tan^2(pi/7))=kcos(...

If `(3-tan^2(pi/7))/(1-tan^2(pi/7))=kcos(pi/7)` then the value of `k` is (a)1 (b) 2 (c) 3 (d) 4

Text Solution

AI Generated Solution

To solve the equation \[ \frac{3 - \tan^2\left(\frac{\pi}{7}\right)}{1 - \tan^2\left(\frac{\pi}{7}\right)} = k \cos\left(\frac{\pi}{7}\right), \] we will follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Solved Examples And Exercises|482 Videos

Similar Questions

Explore conceptually related problems

2tan^(-1)(1/2)-tan^(-1)(1/7)=(pi)/(4)

tan^(-1)(1/3)+(1)/(2)tan^(-1)(1/7)=(pi)/(8)

If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4 pi+sin^(-1)sin14)=(pi)/(2), then the value of sin^(-1)sin2x is (a)6-2 pi( b) 2 pi-6( c) pi-3 (d) 3-pi

2tan^(-1)(tan((7pi)/6))

If tan theta=(1)/(2) andtan varphi =(1)/(3), then the value of theta+varphi is (pi)/(6) (b) pi(c)0(d)(pi)/(4)

If tan((pi)/(4)+theta)+tan((pi)/(4)-theta)=3, then the value of tan^(2)((pi)/(4)+theta)+tan^(2)((pi)/(4)-theta)

prove that 2(tan^(-1)1)/(3)+(tan^(-1)1)/(7)=(pi)/(4)

Sum of all the solutions in [0,4 pi] of the equation tan x+cot x+1=cos(a+(pi)/(4)) is k pi then the value of (a)3.5(b)2.5(c)2(d)2.25

CENGAGE-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. If (secA+tanA)(secB+tanB)(secC+tanC)=(secA-tanA)(secB-tanB)(secC-tanC)...

    Text Solution

    |

  2. In a triangle A B C , the altitude from A is not less than B C andthe ...

    Text Solution

    |

  3. If (3-tan^2(pi/7))/(1-tan^2(pi/7))=kcos(pi/7) then the value of k is...

    Text Solution

    |

  4. If tan(A-B)=1a n dsec(A+B)=2/(sqrt(3)) , then the smallest positive va...

    Text Solution

    |

  5. Prove that sqrt((1+sintheta)/(1-sintheta))=sectheta+tantheta

    Text Solution

    |

  6. If in A B C ,A C is double of A B , then the value of cot(A/2)cot((...

    Text Solution

    |

  7. If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z) ...

    Text Solution

    |

  8. Let P(x)=((1-cos2x+sin2x)/(1+cos2x+s in2x))^2+((1+cotx+cot^2x)/(1+tanx...

    Text Solution

    |

  9. prove that 1/(secA-tanA)-1/(cosA)=1/(cosA)-1/(secA+tanA)

    Text Solution

    |

  10. Number of solution(s) satisfying the equation 1/(sinx)-1/(sin2x)=2/(si...

    Text Solution

    |

  11. If in A B C , side a , b , c are in A.P. then B > 60^0 (b) B<60^0 B...

    Text Solution

    |

  12. The value of sin^3 10^0+sin^3 50^0-sin^3 70^0 is equal to (a)-3/2 ...

    Text Solution

    |

  13. Show That 2(sin^6x+cos^6x)-3(sin^4x+cos^4x)+1=0

    Text Solution

    |

  14. If the hypotenuse of a right-angled triangle is four times the length ...

    Text Solution

    |

  15. The number of roots of (1-tantheta)(1+sin2theta)=1+tanthetafortheta in...

    Text Solution

    |

  16. If cosx=tany ,cosy=tanz ,cosz=tanx , then the value of sinx is (a)2...

    Text Solution

    |

  17. If tan theta+sin theta=m and tan theta-sin theta=n , then m^2-n^2=4m...

    Text Solution

    |

  18. If one side of a triangle is double the other, and the angles on op...

    Text Solution

    |

  19. Number of roots of the equation (3+cos"x")^2=4-2sin^8x ,x in [0,5pi]a ...

    Text Solution

    |

  20. The side of a triangle inscribed in a given circle subtends angles alp...

    Text Solution

    |