Home
Class 12
MATHS
show that , (1) /(2) tan ^(-1) x = ...

show that ` , (1) /(2) tan ^(-1) x = cos^(-1) sqrt((1+sqrt(1+x^(2)))/(2sqrt(1+x^(2)))).`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 4|17 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Very short answer type Questions|39 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

Value of cos^-1 sqrt((1 + sqrt(1 + x^2))/(2sqrt(1 + x^2))) , x ge 0 is

prove that . Tan ^(-1) x- tan ^(-1 )y = cos ^(-1) (1+xy)/(sqrt((1+x^(2))(1+y^(2)))).

If (1)/(sqrt2) lt x lt 1 , then prove that cos^(-1) x + cos^(-1) ((x + sqrt(1 - x^(2)))/(sqrt2)) = (pi)/(4)

tan^(-1)x+tan^(-1) (1-x) = 2 tan ^(-1) sqrt(x(1-x))

Prove that cos^(-1)x=2sin^(-1)(sqrt (1-x)/sqrt2)

int(sqrt(1-x^(2))-x)/(sqrt(1-x^(2))(1+xsqrt(1-x^(2))))dx is

cos^(-1)x= 2 sin ^(-1) sqrt((1-x)/(2))=2 cos ^(-1)""sqrt((1+x)/(2))=2tan^(-1)""(sqrt(1-x^(2)))/(1+x)

Find (dy)/(dx) when : y="sin"^(-1) (1)/(sqrt(1+x^(2)))+tan^(-1) ( (sqrt(1+x^(2))-1)/(x))

Simplify y=tan^(-1)(x/(1+sqrt(1-x^2)))

Prove that sin [2 tan^(-1) {sqrt((1 -x)/(1 + x))}] = sqrt(1 - x^(2))

CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-sample questions for competive examination
  1. show that , (1) /(2) tan ^(-1) x = cos^(-1) sqrt((1+sqrt(1+x^(2))...

    Text Solution

    |

  2. The values of x satisfying sin ^(-1) x+ sin ^(-1) (1-x) = cos^(-...

    Text Solution

    |

  3. sin^(-1)x gt cos^(-1)x golds for -

    Text Solution

    |

  4. If "cosec" ^(-1) x = sin ^(-1) ((1)/(x)) then x may be -

    Text Solution

    |

  5. 2 cot ^(-1) 7+ cos ^(-1) ((3)/(5)) is equal to -

    Text Solution

    |

  6. theta = tan ^(-1)(2 tan ^(2) theta )- tan ^(-1) ((1)/(3) tan theta...

    Text Solution

    |

  7. tan {2tan ^(-1)""((1)/(5))-(pi)/(4)} is equal to -(k )/(17) then f...

    Text Solution

    |

  8. IF sin ^(-1) x sin ^(-1) y =(2pi )/(3) then cos ^(-1) y =(pi)/(l...

    Text Solution

    |

  9. If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi, then xy + yz +zx is equal ...

    Text Solution

    |

  10. The value of tan ^(-1) (1) + cos ^(-1) (-(1)/(2) ) + sin ^(-1) (-...

    Text Solution

    |

  11. The value of tan {(cos^(-1)(-(2)/(7))-(pi)/(2))}is (2)/(3sqrt(m)), f...

    Text Solution

    |

  12. Find prinicipal values for inverse circular functions cos ^(-1) ...

    Text Solution

    |

  13. Find prinicipal values for inverse circular functions sin^(-1)(sin...

    Text Solution

    |

  14. Find prinicipal values for inverse circular functions tan ^(-1) ...

    Text Solution

    |

  15. Find prinicipal values for inverse circular functions tan ^(-1) ...

    Text Solution

    |

  16. Find prinicipal values for inverse circular functions cos^(-1)(cos...

    Text Solution

    |

  17. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  18. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  19. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  20. Find the general value of sin^-1(sqrt3/2)

    Text Solution

    |

  21. Statement -I : tan ^(-1)""((3)/(4))+tan ^(-1) ""((1)/(7))= (pi)/(4) s...

    Text Solution

    |