Home
Class 12
MATHS
Write the value of cos(sin^(-1)x+cos^(-1...

Write the value of `cos(sin^(-1)x+cos^(-1)x)` , `|x|lt=1` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos
  • LINEAR PROGRAMING

    RD SHARMA ENGLISH|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

Find the value of : sin (sin^(-1) x + cos^(-1) x)

The value of cos(sin^(-1)x + cos^(-1)x) , where |x| le 1 , is

If cos^(-1)x >sin^(-1)x , then

Find the value of x for which sin^(-1) (cos^(-1) x) lt 1 and cos^(-1) (cos^(-1) x) lt 1

cos(a sin ^(-1)"1/x)

Find the value of "cos"(2cos^(-1)x+sin^(-1)x) at x=1/5, where 0lt=pi and -pi/2lt=sin^(-1)xlt=pi/2dot

Find the maximum and minimum values of (sin^(-1)x)^3+(cos^(-1)x)^3, where -1lt=xlt=1.

Find the maximum and minimum values of (sin^(-1)x)^3+(cos^(-1)x)^3, where -1lt=xlt=1.

If cos^(-1)x gt sin^(-1) x , then

If sin x=cos^2x ,\ then write the value of cos^2x\ (1+cos^2x)dot

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Write the value of sec^(-1)(1/2) .

    Text Solution

    |

  2. The value of cos^(-1)(cos(14pi)/(3)) is

    Text Solution

    |

  3. Write the value of cos(sin^(-1)x+cos^(-1)x) , |x|lt=1 .

    Text Solution

    |

  4. The value of tan((sin^(-1)x+cos^(-1)x)/(2)), when x = (sqrt(3))/(2), i...

    Text Solution

    |

  5. The principal value of sin^(-1)[cos(sin^(-1)'1/2)] is

    Text Solution

    |

  6. Find the set of values of "c o s e c"^(-1)((sqrt(3))/2)

    Text Solution

    |

  7. Write the value of tan^(-1)(1/x) for x<0 in terms of cot^(-1)(x) .

    Text Solution

    |

  8. The value of cot^(-1)(-x) x in R in terms of cot^(-1)x is

    Text Solution

    |

  9. Write the value of cos((tan^(-1)x+cot^(-1)x)/3) , when x=-1/(sqrt(3)) ...

    Text Solution

    |

  10. If cos(tan^(-1)x+cot^(-1)sqrt(3))=0 , find the value of xdot

    Text Solution

    |

  11. Find the value of 2\ sec^(-1)2+sin^(-1)(1/2) .

    Text Solution

    |

  12. If cos((sin^(-1)2)/5+cos^(-1)x)=0 find the value of xdot

    Text Solution

    |

  13. Find the value of the following: cos^(-1)(cos((13pi)/6))

    Text Solution

    |

  14. 8. Find the principal value of tan^-1( tan (9pi)/8)

    Text Solution

    |

  15. If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha...

    Text Solution

    |

  16. The value of tan{cos^(-1)1/(5sqrt(2))-sin^(-1)4/(sqrt(17))} is (sqrt(2...

    Text Solution

    |

  17. The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to cot^...

    Text Solution

    |

  18. If cos^(-1)x/a+cos^(-1)y/b=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)c...

    Text Solution

    |

  19. Find the number of positive integral solution of the equation tan^(-1)...

    Text Solution

    |

  20. If sin^(-1)x-cos^(-1)x=pi/6 , then x= (a)1/2 (b) (sqrt(3))/2 (c) -1/2...

    Text Solution

    |