Home
Class 12
MATHS
Evaluate tan(1/4*Sin^-1(sqrt(63)/8))...

Evaluate `tan(1/4*Sin^-1(sqrt(63)/8))`

A

`(1)/(sqrt7)`

B

`2sqrt2-1`

C

`sqrt7-1`

D

`(1)/(2sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-B|50 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

sin((1)/(4)sin^(-1)((sqrt(63))/(8))is

For the principal value,evaluate tan^(-1){2sin(4(cos^(-1)(sqrt(3)))/(2))}

Evaluate: sin(tan^(-1)3/4)

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

Find the value of tan^(-1)(-1/(sqrt(3)))+cot^(-1)((1)/(sqrt(3))) + tan^(-1)[sin'((-pi)/(2))] .

Find the value of sin[tan tan^(-1)(-sqrt(3))+cos^(-1)((sqrt(3))/(-2))]

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

Find the principal value of: i) sin^(-1)(sqrt(3)/2) ii) sin^(-1)(1/2) iii) cos^(-1)(1/2) iv) tan^(-1)(1) v) tan^(-1)(1/sqrt(3)) vi) sec^(-1)(2/sqrt(3)) , vii) "cosec"^(-1)(sqrt(2)) .

The solution of the equation sin^(-1)((tan)(pi)/(4))-sin^(-1)(sqrt((3)/(x)))-(pi)/(6)=0

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-A
  1. For which of the following curves, the line x + sqrt3 y = 2sqrt3 is th...

    Text Solution

    |

  2. The value of the integral, int1^3 [x^2-2x–2]dx , where [x] denotes the...

    Text Solution

    |

  3. Evaluate tan(1/4*Sin^-1(sqrt(63)/8))

    Text Solution

    |

  4. The negative of the statement ~p vv (p ^^ q) is

    Text Solution

    |

  5. A curve y=ax^2+bx+c passing through the point (1,2) has slope of tange...

    Text Solution

    |

  6. The area of the region : R = {(x, y) : 5x^2 le y le 2x^2 + 9} is :

    Text Solution

    |

  7. Given y=y(x)passing through (1,2) such that xdy/dx +y = bx^4 then find...

    Text Solution

    |

  8. f(0)=1 , f(2)=e^2 , f'(x)=f'(2-x) , then find the value of int0^(2)f(x...

    Text Solution

    |

  9. If A is symmetric matrix and B is skew symmetric matrix of order 3xx3,...

    Text Solution

    |

  10. Let a, b, c be in arithmetic progression. Let the centroid of the tri...

    Text Solution

    |

  11. For the system of linear equations : x - 2y = 1, x - y + kz = -2, k...

    Text Solution

    |

  12. The probability that two randomly selected subsets of the set {1, 2, ...

    Text Solution

    |

  13. Let hati+yhatj+zhatk and xhati-hatj+hatk are parallel then unit vector...

    Text Solution

    |

  14. Let A = {1,2,3,…..10} and f:ArarrA be defined as f(k)={{:(k+1," if k i...

    Text Solution

    |

  15. Let f:RrarrR be defined as f(x)={{:(2sin(-(pix)/2)",",if xlt-1),(|ax^2...

    Text Solution

    |

  16. f(x)=int1^x lnt/(1+t) dt , f(e)+f(1/e)=

    Text Solution

    |

  17. The prime factorization of a number 'n' is given as n=2^x xx 3^y xx 5^...

    Text Solution

    |

  18. Let f(x)= sin^(-1)x and g(x) = (x^2-x-2)/(2x^2-x-6). If g(2)=underset(...

    Text Solution

    |

  19. The triangle of maximum area that can be inscribed in a given circle o...

    Text Solution

    |

  20. Let L be a line obtained from the intersection of two planes x+2y+z = ...

    Text Solution

    |