Home
Class 12
MATHS
If we consider only the principal values...

If we consider only the principal values then the value inverse trigonometric functions then the value of `(cos^-1(1/(5sqrt2) (-sin^-1)4/sqrt(17))` is (a) `sqrt(29)/3` (b) `29/3` (c) `sqrt3/29` (d) `3/29`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

Find the principal value of cos^(-1) (1/sqrt(2))

Find the value of sec^(-1) (-2/(sqrt(3)))

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

Find the value of cot^(-1)(1)+sin^(-1)((-sqrt(3))/(2))-sec^(-1)(-sqrt(2))

Find the principal value of cot^(-1)(sqrt(3))

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Which of the following is/are a rational number? sin(tan^(-1)3+tan^(-...

    Text Solution

    |

  2. If sin^(- 1)(x-(x^2)/2+(x^3)/4-.....)+cos^(- 1)(x^2-(x^4)/2+(x^6)/4-....

    Text Solution

    |

  3. If we consider only the principal values then the value inverse trigon...

    Text Solution

    |

  4. The number of real solution of the equation sqrt(1+cos2x)=sqrt2 sin^(-...

    Text Solution

    |

  5. The solution set of the equation sin^(-1)sqrt(1-x^2)+cos^(-1)x=cot^(-1...

    Text Solution

    |

  6. If |cos^(-1)((1-x^2)/(1+x^2))|<pi/3,t h e n

    Text Solution

    |

  7. If alpha,beta(alpha < beta) are the roots of equation 6x^2+11="" x+3="...

    Text Solution

    |

  8. If 2^((2pi)/sin^(-1)x)-2(a+2)^(pi/sin^(-1)x)+8a<0 for at least one re...

    Text Solution

    |

  9. Which of the following is/are the value of "cos"[1/2cos^(-1)(cos(-(14p...

    Text Solution

    |

  10. 2tan^(-1)(-2) is equal to (a)-cos t^(-1)((-3)/5) (b) -pi+cos^(-1)3...

    Text Solution

    |

  11. If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda+1)=pi/2 has exactly ...

    Text Solution

    |

  12. Prove that : cos [ tan^(-1) { sin (cot^(-1) x)}]= sqrt((x^2 +1)/(...

    Text Solution

    |

  13. Find the minimum value of the function f(x)=(pi^2)/(16cot^(-1)(-x))-co...

    Text Solution

    |

  14. Find the range of y=(cot^(-1)x)(cot^(-1)(-x))dot

    Text Solution

    |

  15. If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

    Text Solution

    |

  16. If 1/(sqrt(2))<x<1 then prove that cos^(-1)x+cos^(-1)((x+sqrt(1-x^2))/...

    Text Solution

    |

  17. Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/4+(cos^(-1)x)/2,""0 <...

    Text Solution

    |

  18. Prove that cos^(-1)((1-x^(2n))/(1+x^(2n)))=2tan^(-1)x^n ,0 lt x lt oo

    Text Solution

    |

  19. Prove that cos^(-1){(1+x)/2}=(cos^(-1)x)/2

    Text Solution

    |

  20. Prove that tan^(-1){x/(a+sqrt(a^2-x^2))}=1/2sin^(-1)x/a ,-a lt x lt a

    Text Solution

    |