Home
Class 12
MATHS
Prove the following : 3cos^(-1)x=cos^(...

Prove the following :
`3cos^(-1)x=cos^(-1)(4x^(3)-3x),x epsilon[1/2,1]`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE|15 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 2.1|14 Videos

  • INTEGRALS

    NCERT GUJARATI|Exercise EXERCISE 7.12|41 Videos

  • LINEAR PROGRAMMING

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

Prove : 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x in[1/2,1]

Prove the following : 3sin^(-1)x=sin^(-1)(3x-4x^(3)),x epsilon[-1/2, 1/2]

Prove : 3sin^(-1)x=sin^(-1)(3x-4x^(3))," "x in[-1/2,1/2]

Prove the followings : cos^(-1)x=2sin^(-1)sqrt((1-x)/2)=2cos^(-1)sqrt((1+x)/2)

Solve the following equations : cos^(-1)(sqrt3x)+cos^(-1)x=pi/2

Prove the followings : If "cos"^(-1)x/2+"cos"^(-1)y/3=theta then 9x^(2)-12xycostheta+4y^(2)=36sin^(2)theta .

Find the values of each of the following : sin(cos^(-1)sqrt3x+cos^(-1)x)=1 then find x.

Find (dy)/(dx) in the following: y= sin^(-1) (3x-4x^(3)), 0 lt x lt (1)/(2)

Solve sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)

Prove that : tan^(-1)sqrtx=1/2cos^(-1)((1-x)/(1+x)),x in[0,1]

NCERT GUJARATI-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 2.2
  1. Prove the following : 3sin^(-1)x=sin^(-1)(3x-4x^(3)),x epsilon[-1/2,...

    Text Solution

    |

  2. Prove the following : 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x epsilon[1/2,1...

    Text Solution

    |

  3. Prove the following : "tan"^(-1)2/11+"tan"^(-1)7/24="tan"^(-1)1/2

    Text Solution

    |

  4. Prove the following : 2"tan"^(-1)1/2+"tan"^(-1)1/7="tan"^(-1)31/17

    Text Solution

    |

  5. Write the following function in the simplest form: tan^(-1)(sqrt(1+x^2...

    Text Solution

    |

  6. Write the following function in the simplest form: tan^(-1)1/(sqrt(x^2...

    Text Solution

    |

  7. Write the following function in the simplest form: tan^(-1)(sqrt((1-co...

    Text Solution

    |

  8. Write the following function in the simplest form : tan^(-1)((cosx-s...

    Text Solution

    |

  9. Write the following function in the simplest form: tan^(-1)x/(sqrt(a^2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find the values of each of the following : cot(tan^(-1)a+cot^(-1)a)

    Text Solution

    |

  13. Find the value of the following: tan1/2[sin^(-1)(2x)/(1+x^2)+cos^(-1)...

    Text Solution

    |

  14. Find the values of each of the following : If sin ("sin"^(-1)1/5+"co...

    Text Solution

    |

  15. If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4, then find the val...

    Text Solution

    |

  16. Find the values of each of the expression following : sin^(-1)("sin"...

    Text Solution

    |

  17. Find the value of each of the expressions in tan^(-1)("tan"(3pi)/4)

    Text Solution

    |

  18. Find the value of tan(sin^(-1)3/5+cot^(-1)3/2)

    Text Solution

    |

  19. cos^(-1)(cos(7pi)/6)is equal to(a) (7pi)/6 (B) (5pi)/6 (C) pi/3 (D) pi...

    Text Solution

    |

  20. sin(pi/3-sin^(-1)(-1/2))is equal to(A) 1/2 (B) 1/3 (C) 1/4 (D) 1

    Text Solution

    |