Home
Class 12
MATHS
Evaluate: tan(2tan^(-1)(1/5))...

Evaluate: `tan(2tan^(-1)(1/5))`

Text Solution

AI Generated Solution

To evaluate \( \tan(2\tan^{-1}(\frac{1}{5})) \), we can use the double angle formula for tangent, which states: \[ \tan(2\theta) = \frac{2\tan(\theta)}{1 - \tan^2(\theta)} \] Here, we can let \( \theta = \tan^{-1}(\frac{1}{5}) \). Thus, we have: ...
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos
  • LINEAR PROGRAMING

    RD SHARMA ENGLISH|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

Evaluate: (i) tan{2tan^(-1)(1/5)-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5)/3)}

Evaluate : tan[2tan^(-1)(1/2)-cot^(-1)3]

Write the value of tan(2tan^(-1)(1/5)) .

Write the value of tan(2tan^-1(1/5)) .

Evaluate 2tan^(-1)(1/2)+tan^(-1)(1/4)

Evaluate: tan^(- 1)(-1/(sqrt(3)))+tan^(- 1)(-sqrt(3))+tan^(- 1)(sin(-pi/2))

Evaluate: tan^(-1)(1)+tan^(-1)(0),

Evaluate tan(cosec^(-1)(5/3)) .

Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4dot

Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4dot

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. sin^(-1)(1-x)-2sin^(-1)x=pi/2 , then x is equal to (A) 0,1/2 (B) 1,1...

    Text Solution

    |

  2. If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=ta...

    Text Solution

    |

  3. Evaluate: tan(2tan^(-1)(1/5))

    Text Solution

    |

  4. Prove that sin^-1[3/5]+sin^-1[4/5]=pi/2

    Text Solution

    |

  5. Show that: cos(2tan^(-1)(1/7))=sin(4tan^(-1)(1/3))

    Text Solution

    |

  6. Find the value of expression: sin(2tan^(-1)(1/3))+cos(tan^(-1)2sqrt(2)...

    Text Solution

    |

  7. Find the principal value of the following: """"" sin^(-1){cos(sin^(...

    Text Solution

    |

  8. If x , y , z in [-1,1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=-(3pi)/...

    Text Solution

    |

  9. Find the domain of the function f(x)=sin^(-1)sqrt(x-1)

    Text Solution

    |

  10. Find the domain of f(x)=sin^(-1)x+cosxdot

    Text Solution

    |

  11. Find the domain of f(x)=sin^(-1)(-x^2)dot

    Text Solution

    |

  12. Find the domain of the function f(x)=sin^(-1)(2x-3)

    Text Solution

    |

  13. Find the value of sin^(-1)[cos{sin^(-1)(-(sqrt(3))/2)}]

    Text Solution

    |

  14. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, find the value of x^2+y^2+z...

    Text Solution

    |

  15. Find the domain of function: f(x)=sin^(-1)sqrt(x^2-1)

    Text Solution

    |

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

    Text Solution

    |

  17. Solve the equation: cos^(-1)(a/x)-cos^(-1)(b/x)=cos^(-1)(1/b)-cos^(-1)...

    Text Solution

    |

  18. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, prove that x^2+y^2+z^2+2x y z=1.

    Text Solution

    |

  19. If cos^(-1)(x/a)+cos^(-1)(y/b)=alpha, prove that (x^2)/(a^2)-2(x y)/(...

    Text Solution

    |

  20. Solve sin^(-1)x+sin^(-1)2x=pi/3dot

    Text Solution

    |