Home
Class 12
MATHS
For the principal values, evaluate the f...

For the principal values, evaluate the following : `sin^-1(-sqrt(3)/2)+ cosec^-1(-2/sqrt(3))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    RD SHARMA ENGLISH|Exercise All Questions|441 Videos

  • DIFFERENTIAL EQUATION

    RD SHARMA ENGLISH|Exercise All Questions|646 Videos

Similar Questions

Explore conceptually related problems

For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3)))

For the principal values, evaluate the following: tan^(-1)sqrt(3)-sec^(-1)(-2)

Find the principal values the following : sin^-1{cos(sin^-1(sqrt(3)/2)}

For the principal values, evaluate each of the following : (i) sin^(-1)(-1/2)+2cos^(-1)(-(sqrt(3))/2) (ii) sin^(-1)(-(sqrt(3))/2)+cos^(-1)((sqrt(3))/2)

For the principal values, evaluate the following: (i) cot^(-1)(-1)+cosec^(-1)(-sqrt(2))+s e c ^(-1)(2) (ii) cot^(-1)(-sqrt(3))+tan^(-1)(1)+sec^(-1)(2/(sqrt(3)))

For the principal values, evaluate each of the following: "tan^(-1)sqrt(3)-sec^(-1)(-2) '

Find the principal values of the following : (i) sin^(-1)(sqrt(-3/2)) (ii) cot^(-1)(-sqrt(3)) (iii) cos^(-1)(-1(1)/(2)) (iv) sec^(-1)(-(2)/sqrt(3)) (v) tan^(-1)(-1) (vi) cosec ^(-1)(-1) .

For the principal values, evaluate the following: (1) cot^(-1)(-1)+cos e c^(-1)(-sqrt(2))+s e c ^(-1)(2) (2) cot^(-1)(-sqrt(3))+tan^(-1)(1)+sec^(-1)(2/(sqrt(3)))

For the principal values, evaluate the following: cot^(-1)(-1)+cos e c^(-1)(-sqrt(2))+s e c s^(-1)(2) cot^(-1)(-sqrt(3))+tan^(-1)(1)sec^(-1)(2/(sqrt(3)))

Evaluate the following cosec ( sin^(-1) (-1/sqrt3))

RD SHARMA ENGLISH-DIFFERENTIABILITY-All Questions
  1. Find the principal values the following : sin^-1{cos(sin^-1(sqrt(3)/2)...

    Text Solution

    |

  2. Solve the following equation for x : cos(tan^-1 x) = sin(cot^-1(3/4))

    Text Solution

    |

  3. For the principal values, evaluate the following : sin^-1(-sqrt(3)/2)+...

    Text Solution

    |

  4. If A is a square matrix such that |A| = 2, write the value of | AA^T|

    Text Solution

    |

  5. Find the domain of the function f(x) = sin^-1 sqrt(x-1)

    Text Solution

    |

  6. If sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then find the value of x^2+y^2+...

    Text Solution

    |

  7. If f(x) = (x^l/x^m)^(l+m) (x^m/x^n)^(m+n) (x^n/x^l)^(n+l), then find f...

    Text Solution

    |

  8. Show that f(x)=|x| is not differentiable at x=0.

    Text Solution

    |

  9. Evaluate : tan(cos^-1(-7/25))

    Text Solution

    |

  10. For what choice of a and b is the function f(x)={x^2,xlt=c and a x+...

    Text Solution

    |

  11. Discuss the differentiability of f(x)=x|x| at x=0

    Text Solution

    |

  12. Show that the function f(x)={ x^2sin(1/x) , when x !=0 and 0 when x=0 ...

    Text Solution

    |

  13. If f(2)=2a n df^(prime)(2)=1, then find (lim)(xvec2)(xf(2)-2f(x))/(x-2...

    Text Solution

    |

  14. If sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then find the value of x^2+y^2+...

    Text Solution

    |

  15. Show that f(x)=|x| is not differentiable at x=0 .

    Text Solution

    |

  16. Show that the function f(x)={x-1\ \ \ ,\ \ \ if\ x<2 \ \ \ \ \ \ \ ...

    Text Solution

    |

  17. Show that the function f(x)={((x^2sin(1/x),if,x!=0),(0,if,x=0)) is dif...

    Text Solution

    |

  18. Show that f(x)=x^2 is differentiable at x=1 and find f^(prime)(1) .

    Text Solution

    |

  19. Show that the function f(x)=|x-1| for all x in R , is not differentia...

    Text Solution

    |

  20. Discuss the differentiability of f(x)=x|x| at x=0 .

    Text Solution

    |