Home
Class 12
MATHS
Find tan^(-1) sqrt3 -sec^(-1)(-2)...

Find tan^(-1) sqrt3 -sec^(-1)(-2)

A

'pi'

B

'-pi/3'

C

'pi/3'

D

'(2 pi)/3'

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|396 Videos

  • LINEAR PROGRAMMING

    V PUBLICATION|Exercise QUESTION BANK|39 Videos

Similar Questions

Explore conceptually related problems

Show that tan^-1((-1)/sqrt3)+sec^-1(-2)-sin^-1(1/2)=pi/3

tan ^(-1) sqrt3-cot ^(-1)(-sqrt3) is equal to A) pi B) (-pi)/2 C)0 D) 2 sqrt3

Prove that tan ^(-1) x+tan ^(-1) ((2 x)/(1-x^2))=tan ^(-1)((3 x-x^3)/(1-3 x^2)),|x|lt1/sqrt3

Evaluate int tan (sin ^(-1) x)/(sqrt(1-x^2)) d x

The value of tan^(-1)((sqrt(3))/(2))+tan^(-1)((1)/(sqrt(3))) is equal to a) tan^(-1)((5)/(sqrt(3))) b) tan^(-1)((2)/(sqrt(3))) c) tan^(-1)((1)/(2)) d) tan^(-1)((1)/(3sqrt(3)))

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

Let tan^(-1)y = tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x| le 1/sqrt3 . Then the value of y is

The value of sec ^(2) ( tan ^(-1) 3) + cosec ^(2) (cot ^(-1) 2) is equal to

intsqrt(e^(x)-1)dx= a) 2[sqrt(e^(x)-1)-tan^(-1)sqrt(e^(x)-1)]+c b) sqrt(e^(x)-1)-tan^(-1)sqrt(e^(x)-1)+c c) sqrt(e^(x)-1)+tan^(-1)sqrt(e^(x)-1)+c d) 2[sqrt(e^(x)-1)+tan^(-1)sqrt(e^(x)-1)]+c

V PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Find the value of cos^(-1)(1/2)+2sin^(-1)(1/2)

    Text Solution

    |

  2. If sin^(-1) x=y,then find the range of y

    Text Solution

    |

  3. Find tan^(-1) sqrt3 -sec^(-1)(-2)

    Text Solution

    |

  4. Prove that tan^-1 (1/2)+tan^-1(2/11)=tan^-1(3/4)

    Text Solution

    |

  5. Express tan^-1(frac(cosx)(1-sinx)) in the simplest Form.

    Text Solution

    |

  6. Express cot ^(-1)(1/(sqrt(x^2-1))),|x|gt1 in the simplest form.

    Text Solution

    |

  7. Prove that tan ^(-1) x+tan ^(-1) ((2 x)/(1-x^2))=tan ^(-1)((3 x-x^3)/(...

    Text Solution

    |

  8. Find the value of cos(sec ^(-1) x+cosec^(-1) x),|x| ge 1

    Text Solution

    |

  9. Prove that 3 sin ^(-1) x = sin^(-1) (3x - 4x^3), x in [-1/2,1/2]

    Text Solution

    |

  10. prove that 3 cos^(-1) x = cos^(-1) (4x^3 - 3x), x in [1/2,1]

    Text Solution

    |

  11. Prove that tan^(-1)(2/11) + tan^(-1)(7/24) = tan^(-1)(1/2)

    Text Solution

    |

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

    Text Solution

    |

  13. Write the following functions in the simplest form : tan^(-1)((sqrt(...

    Text Solution

    |

  14. Write the following functions in the simplest form : tan^(-1)(1/sqrt...

    Text Solution

    |

  15. Write the following functions in the simplest form : tan^(-1) sqrt((...

    Text Solution

    |

  16. Write the following functions in the simplest form : tan^(-1)((cos x...

    Text Solution

    |

  17. Write the following functions in the simplest form : tan^(-1) (x/sqr...

    Text Solution

    |

  18. Write the following functions in the simplest form : tan^(-1)((3a^2x...

    Text Solution

    |

  19. Find the values of each of the following tan ^(-1)[2 cos (2 sin ^(-1) ...

    Text Solution

    |

  20. Find the value of cot(tan^(-1) a + cot^(-1) a)

    Text Solution

    |