Home
Class 12
MATHS
Find the value of cos(sec^(-1)x+"c o s e...

Find the value of `cos(sec^(-1)x+"c o s e c"^(-1)x)` , `|x|geq1`

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

Evaluate: cos(sec^(-1)x+"c o s e c"^(-1)x) , |x|geq1

Find the value of cos(sec^(-1)x+cose c^(-1)x),|x|geq1

Find the minimum value of (sec^(-1)x)^2+("c o s e c"^(-1)x)^2

Find the principal value of "c o s e c"^(-1)(-2) .

Find the principal values of " (1) c o s e c"^(-1)(2) and "c o s e c"^(-1)(-2/(sqrt(3)))

Find the value of x for which cos e c^(-1)(cosx) is defined.

The least value of (1+sec^(-1)x)(1+c os^(-1)x) is ________

The least value of (1+sec^(-1)x)(1+c a s^(-1)x) is ________

The solution set of the ineuality (c o s e c^(- 1)x)^2-2c o s e c^(- 1)xgeqpi/6(c o s e c^(- 1)x-2) is (-oo,a] uu [b,oo) , then (a+b) equals

Find the value of sin^(-1)(2^x) (ii) cos^(-1)sqrt(x^2-x+1) tan^(-1)(x^2)/(1+x^2) (iv) sec^(-1)(x+1/x)

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Show that :2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is constant for xgeq1, fi...

    Text Solution

    |

  2. Find the value of: tan^(-1)[2cos(2sin^(-1)(1/2)]

    Text Solution

    |

  3. Find the value of cos(sec^(-1)x+"c o s e c"^(-1)x) , |x|geq1

    Text Solution

    |

  4. Find the value of tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

    Text Solution

    |

  5. Solve the following equation for x : tan^(-1)(1/4)+2tan^(-1)(1/5)+ta...

    Text Solution

    |

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

    Text Solution

    |

  7. Solve the following equation for x: tan^(-1)((2x)/(1-x^2))+cot^(-1)...

    Text Solution

    |

  8. Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2

    Text Solution

    |

  9. Solve for x : cos^(-1)((x^2-1)/(x^2+1))+1/2tan^(-1)((2x)/(1-x^2))=(2pi...

    Text Solution

    |

  10. prove that 2tan^-1(sqrt((a-b)/(a+b))tan(theta/2))=cos^-1((acostheta+b)...

    Text Solution

    |

  11. Show that (tan^-1)(2ab)/(a^2-b^2)+(tan^-1)(2xy)/(x^2-y^2)=(tan^-1) (2a...

    Text Solution

    |

  12. For any a ,\ b ,\ x ,\ y >0 , prove that : 2/3tan^(-1)((3a b^2-a^3)/(b...

    Text Solution

    |

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

    Text Solution

    |

  14. Write the difference between maximum and minimum values of sin^(-1)...

    Text Solution

    |

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

    Text Solution

    |

  16. If x >1 , then write the value of sin^(-1)((2x)/(1+x^2)) in terms o...

    Text Solution

    |

  17. If x<0 , then write the value of cos^(-1)((1-x^2)/(1+x^2)) in terms...

    Text Solution

    |

  18. Write the value of tan^(-1)x+tan^(-1)(1/x) for x >0

    Text Solution

    |

  19. Write the value of tan^(-1)x+tan^(-1)(1/x) for x<0

    Text Solution

    |

  20. What is the value of cos^(-1)(cos(2pi)/3)+sin^(-1)(sin(2pi)/3) ?

    Text Solution

    |