Home
Class 12
MATHS
Evaluate the following: (i) tan{2\ tan...

Evaluate the following: (i) `tan{2\ tan^(-1)(1/5)-pi/4}` (ii) `tan(1/2\ sin^(-1)(3/4)`

Text Solution

AI Generated Solution

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 the following : sin^(2) ( tan^(-1) (3/4))

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

Prove the following: tan^(-1)1/7+2\ tan^(-1)1/3=pi/4

Evaluate the following:(i) sin(1/2\ cos^(-1)(4/5)) (ii) sin(2\ tan^(-1)(2/3))+cos(tan^(-1)sqrt(3))

Prove the following : sin^(-1)(4/5)+2\ tan^(-1)(1/3)=pi/2

Evaluate each of the following: tan(tan^(-1)3/4) (ii) tan(sin^(-1)5/(13)) (iii) tan(cos^(-1)8/(17))

For the principal values, evaluate each of the following: (i) tan^(-1){2cos(2sin^(-1)(1/2))} (ii) "cot"[sin^(-1){cos(tan^(-1)1)}]

For the principal values, evaluate each of the following: (i) tan^(-1){2cos(2sin^(-1)(1/2))} (ii) cot"[sin^(-1){cos(tan^(-1)1)}]

For the principal values, evaluate each of the following: (i) tan^(-1){2cos(2sin^(-1)(1/2))} , (ii) "cot"[sin^(-1){cos(tan^(-1)1)}]

Evaluate each of the following: tan^(-1)(tan(9pi)/4) (ii) tan^(-1)(tan1) (iii) tan^(-1)(tan2)

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Prove that: (alpha^3)/2cos e c^2(1/2tan^(-1)(alpha/beta))+(beta^3)/2s ...

    Text Solution

    |

  2. Prove that : tan^(-1){(cos2\ alphasec2\ beta+cos2betasec2alpha)/2}=tan...

    Text Solution

    |

  3. Evaluate the following: (i) tan{2\ tan^(-1)(1/5)-pi/4} (ii) tan(1/2...

    Text Solution

    |

  4. Evaluate the following:(i) sin(1/2\ cos^(-1)(4/5)) (ii) sin(2\ tan^...

    Text Solution

    |

  5. Prove the following: 2\ sin^(-1)(3/5)=tan^(-1)(24/7)

    Text Solution

    |

  6. Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)=1/2s...

    Text Solution

    |

  7. Prove: tan^(-1)(2/3)=1/2tan^(-1)(12/5)

    Text Solution

    |

  8. Prove the following: tan^(-1)1/7+2\ tan^(-1)1/3=pi/4

    Text Solution

    |

  9. Prove the following : sin^(-1)(4/5)+2\ tan^(-1)(1/3)=pi/2

    Text Solution

    |

  10. Prove that 2sin^-1[3/5]-tan^-1[17/31]=pi/4

    Text Solution

    |

  11. Prove the following: 2\ tan^(-1)(1/5)+tan^(-1)(1/8)= tan^(-1)(4/7)

    Text Solution

    |

  12. Prove the following: 2\ tan^(-1)(3/4)-tan^(-1)((17)/(31))=pi/4

    Text Solution

    |

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

    Text Solution

    |

  14. Prove the following: 4\ tan^(-1)(1/5)-tan^(-1)(1/(239))=pi/4

    Text Solution

    |

  15. If sin^(-1)((2a)/(1+a^2))-cos^(-1)((1-b^2)/(1+b^2))=tan^(-1)((2x)/(1-x...

    Text Solution

    |

  16. Prove that: tan^(-1)((1-x^2)/(2x))+cot^(-1)((1-x^2)/(2x))=pi/2

    Text Solution

    |

  17. Prove that: sin{tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2))}=1

    Text Solution

    |

  18. If sin^(-1) ((2a)/(1+a^2))+ sin^(-1) ((2b)/(1+b^2)) = 2 tan^(-1)x then...

    Text Solution

    |

  19. Show that :2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is constant for xgeq1, fi...

    Text Solution

    |

  20. Find the value of: tan^(-1)[2cos(2sin^(-1)(1/2)]

    Text Solution

    |