Home
Class 12
MATHS
Define y=cos^(-1)(4x^(3)-3x) in terms of...

Define `y=cos^(-1)(4x^(3)-3x)` in terms of `cos^(-1)x`

Text Solution

AI Generated Solution

To define \( y = \cos^{-1}(4x^3 - 3x) \) in terms of \( \cos^{-1}(x) \), we can follow these steps: ### Step 1: Substitute \( x \) with \( \cos(\theta) \) Let \( x = \cos(\theta) \). Then, we can express \( 4x^3 - 3x \) in terms of \( \theta \): \[ 4x^3 - 3x = 4\cos^3(\theta) - 3\cos(\theta) \] ...
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SUBJECTIVE_TYPE|179 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SCQ_TYPE|96 Videos
  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Define: tan^(-1)((3x-x^(3))/(1-3x^(2))) in terms of tan^(-1)x

Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in ((1)/(2), 1] , then the value of lim_( y to a)b cos (y) is

Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in [-1, -(1)/(2)) , then the value of a + b pi is

Differentiate cos^(-1)(4x^3-3x) with respect to x

If f(x)=cos^(-1)(4x^(3)-3x), x in [-1,1] , then

If cos^(-1)(cos 4)gt3x^(2)-4x then

Differentiate cos^(-1)(4x^3-3x) with respect to x' .

Differentiate cos^(-1)(4x^3-3x) with respect to x , if x in (1/2,\ 1)

Differentiate cos^(-1)(4x^3-3x) with respect to x , if x in (-1/2,1/2)

Differentiate cos^(-1)(4x^3-3x) with respect to x , if x in (-1,\ -1/2)

RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SSP
  1. Define y=cos^(-1)(4x^(3)-3x) in terms of cos^(-1)x

    Text Solution

    |

  2. If (2x+y,7)=(5,y-3) then find x and y

    Text Solution

    |

  3. If AxxB={(1,2),(1,3),(1,6),(7,2),(7,3),(7,6)} then find sets A and B.

    Text Solution

    |

  4. If A={x,y,z} and B={1,2}, then the number of relations from A to B is

    Text Solution

    |

  5. Write R={(4x+3,1-x):xle2,xepsilonN}

    Text Solution

    |

  6. Let L be the set of all lines in a plane and let R be a relation defin...

    Text Solution

    |

  7. Let R be a relation on the set of all lines in a plane defined by (...

    Text Solution

    |

  8. Let g(x) be a function defined on[-1,1]dot If the area of the equilate...

    Text Solution

    |

  9. Represent all possible functions from {alpha, beta} to {1,2}.

    Text Solution

    |

  10. Find the domain of following function: f(x)=1/(log(2-x))+sqrt(x+1)

    Text Solution

    |

  11. Find the domain of following function: f(x)=sqrt(1-x)-"sin^(-1)((2x-1)...

    Text Solution

    |

  12. Find domain and range of following function: y=x^(3)

    Text Solution

    |

  13. Find domain and range of following function: y=(x^(2)-2x+5)/(x^(2)+2x+...

    Text Solution

    |

  14. Find domain and range of following function: y=1/(sqrt(x^(2)-x))

    Text Solution

    |

  15. Following each of the following function find whether it is one-one o...

    Text Solution

    |

  16. Examine whether the following functions are one-one, many-one or into,...

    Text Solution

    |

  17. Examine whether the following functions are one-one, many-one or into,...

    Text Solution

    |

  18. Examine whether the folloiwng pair of function are identical or not: f...

    Text Solution

    |

  19. Examine whether the folloiwng pair of function are identical or not: f...

    Text Solution

    |

  20. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

    Text Solution

    |

  21. Define fog(x) and gof(x). Also find their domain and range. f(x) = tan...

    Text Solution

    |