Home
Class 12
MATHS
Evaluate: {(2tan^(-1)1)/5-pi/4} (ii) ta...

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

A

`(3+sqrt(5))/(2)`

B

`3+sqrt(5)`

C

`1/2(3-sqrt(5))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|11 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 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)(1/5))

Evaluate: tan{2t a n-1 1/5+pi/4}

Evaluate: tan{1/2cos^(-1)(sqrt5/3)}

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

(1) 4(tan^(-1)(1)/(3)+cos^(-1)(2)/(sqrt(5)))

Prove: tan^(-1)(1/4)+tan^(-1)(2/9)=sin^(-1)(1/sqrt(5))

The value of tan(1/2 cos^(-1)(2/(sqrt(5)))) is

The value of tan[(1)/(2)cos^(-1)((sqrt(5))/(3))] is :

Evaluate: tan^(-1){tan((5pi)/6)}+cos^(-1){cos((13pi)/6)}

OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  2. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (...

    Text Solution

    |

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

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. The value of cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx) -sqr...

    Text Solution

    |

  6. The value of sin[cot^(-1){cos(tan^(-1) x)}] is

    Text Solution

    |

  7. If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4ta...

    Text Solution

    |

  8. If A=tan^(-1)((x sqrt(3))/(2k-x)) and B= tan^(-1)((2x-k)/(k sqrt(3))),...

    Text Solution

    |

  9. Solve sin^(-1) x + sin^(-1) (1 - x) = cos^(-1) x

    Text Solution

    |

  10. If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  11. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

    Text Solution

    |

  12. sin^(-1)(sin10) is a+bpi then |a+b| is

    Text Solution

    |

  13. The value of tan^(-1)1+tan^(-1)2+tan^(-1)3 is :

    Text Solution

    |

  14. The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) p...

    Text Solution

    |

  15. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

    Text Solution

    |

  16. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are (...

    Text Solution

    |

  17. If a le 1/32 then the number of solution of (sin^(-1) x)^(3) +(cos^(...

    Text Solution

    |

  18. If x takes negative permissible value then sin^(-1)x=

    Text Solution

    |

  19. If -1 le x le -(1)/sqrt(2) then sin^(-1)2xsqrt(1-x^(2)) equals

    Text Solution

    |

  20. If (1)/sqrt(2) le x le 1 then sin^(-1) 2xsqrt(1-x^(2)) equals

    Text Solution

    |