Home
Class 12
MATHS
Prove statement tan ( 2 "tan"^(-1)1/5-pi...

Prove statement `tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Prove statement "tan"(-1)1/2 +"tan"^(-1) 1/5 +"tan"^(-1) 1/8 = pi/4

Prove statement "sin"^(-1)4/5 +2"tan"^(-1) 1/3= pi/2

Prove statement 4 "tan"^(-1) 1/5 -"tan"^(-1) 1/70 + "tan"^(-1) 1/99 = pi/4

Prove statement "tan"^(-1) 1/7+ "tan"^(-1)1/13="tan"^(-1) 2/9

Prove statement 2"tan"^(-1) 1/5 + "sec"^(-1) (5sqrt2)/7 +2 "tan"^(-1) 1/8 = pi/4

Prove statement "cos"" tan"^(-1) " cot sin"^(-1) x =x

Prove statement "tan"^(-1) x +"cot"^(-1)(x+1)="tan"^(-1)(x^2+x+1)

Prove statement "tan"^(-1) (a-b)/(1+ab)+"tan"^(-1)(b-c)/(1+bc) +"tan"^-1(c-a)/(1+ca) ="tan"^(-1) (a^2-b^2)/(1+a^2b^2) +"tan"^(-1)(b^2-c^2)/(1+b^2c^2)+"tan"^(-1) (c^2-a^2)/(1+c^2a^2)

Prove statement "tan"^2 "cos"^(-1)1/sqrt3 +"cot"^2 "sin"^-1 1/sqrt5 =6

Prove that 2 tan^-1(1/2) + tan^-1 (1/7) = tan^-1 (31/17) .

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Write whether the equation "tan"^(-1) ("cot"x)=2x has exactly two real...

    Text Solution

    |

  2. Find the feasible solution region of the following: 3x+yge3,x+yge1,xge...

    Text Solution

    |

  3. Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0

    Text Solution

    |

  4. Prove that for any f:X rarr Y , f o idx = f =idY of.

    Text Solution

    |

  5. If A=[(2,5),(1,3)], then find A^(-1)

    Text Solution

    |

  6. Evaluate abs[[1,a,bc],[1,b,ca],[1,c,ab]]-abs[[1,a,b^2],[1,b,b^2],[1,c,...

    Text Solution

    |

  7. If [(x+y,y-z),(5-t,7+x)]=[(t-x,z-t),(z-y,x+z+t)], then find the values...

    Text Solution

    |

  8. Express as a sum of a symmetric and a skew symmetric matrix: [[1,2,3],...

    Text Solution

    |

  9. Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2

    Text Solution

    |

  10. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  11. Find (dy)/(dx), if y=tan^(-1)((cosx)/(1+sinx)).

    Text Solution

    |

  12. Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...

    Text Solution

    |

  13. Use the function f(x) = x^(1//x), x gt 0 to show that e^(pi) gt pi^(e)...

    Text Solution

    |

  14. Let f(x)={(absx/x,if xne0),(0,if x=0):} Examine the continuity of f(x)...

    Text Solution

    |

  15. int(1+x^2)/(xsqrt(x^4+1))dx

    Text Solution

    |

  16. Determine the area within the ellipse x^2/a^2+y^2/b^2=1.

    Text Solution

    |

  17. int0^pi(xsinxdx)/(1+cos^2x)

    Text Solution

    |

  18. Evaluate the following integrals int(3sinx+28cosx)/(5sinx+6cosx)dx

    Text Solution

    |

  19. Find the equation of the plane passing through the line (x-8)/3=(y+19)...

    Text Solution

    |

  20. Prove that the sum of the vectors directed from the vertices to the mi...

    Text Solution

    |