Home
Class 12
MATHS
If cot(cos^(-1)(3/5)+sin^(-1)x)=0 , find...

If `cot(cos^(-1)(3/5)+sin^(-1)x)=0` , find the values of `xdot`

Text Solution

Verified by Experts

`cot (cos ^{-1} frac{3}{5}+sin ^{-1} x)=0 `

`implies cos ^{-1} frac{3}{5}+sin ^{-1} x=cot 0`

`implies cos ^{-1} frac{3}{5}+ sin ^{-1} x=frac{pi}{2}`

`implies cos ^{-1} frac{3}{5}=frac{pi}{2}-sin ^{-1} x `

...
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos

  • JEE MAINS PREVIOUS YEAR

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

If sin(cos^(-1)(5)/(13)+sin^(-1)x)=1 find the value of x.

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

If sin(sin^(-1)((1)/(5))+cos^(-1)(x))=1 Find the value of x

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

If sin(sin^(-1)((1)/(5))+cos^(-1)(x))=1 Find the value of x.

If sin(sin^(-1)(1)/(5)+cos^(-1)x)=1 then find the value of x.

If sin (sin^(-1)(3/5)+cos^(-1)x)=1 then find value of x.

If sin (sin^(-1).(1)/(5) + cos^(-1) x) = 1 , then find the value of x

sin(Cot^-1((3)/(4)))=cos(tan^(-1)x) ,find the value of x .

cot^(-1)(-(1)/(5))=theta, find the value of sin theta

RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. If -1lt=x , ylt=1 such that sin^(-1)x+sin^(-1)y=pi/2, find the value o...

    Text Solution

    |

  2. If sin^(-1)x+sin^(-1)y=pi/3 and cos^(-1)x-cos^(-1)y=pi/6 , find the va...

    Text Solution

    |

  3. If cot(cos^(-1)(3/5)+sin^(-1)x)=0 , find the values of xdot

    Text Solution

    |

  4. If (sin^(-1)x)^2+(cos^(-1)x)^2=(17pi^2)/(36) , find xdot

    Text Solution

    |

  5. If sin(sin^(-1)(1/5)+cos^(-1)(x))=1 Find the value of x.

    Text Solution

    |

  6. Solve: sin^(-1)x=pi/6+cos^(-1)x

    Text Solution

    |

  7. Solve : 4sin^(-1)x=pi-cos^(-1)x

    Text Solution

    |

  8. Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3

    Text Solution

    |

  9. Solve: 5tan^(-1)x+3cot^(-1)x=2pi

    Text Solution

    |

  10. Prove that: tan^(-1)(2/(11))+tan^(-1)(7/(24))=tan^(-1)(1/2)

    Text Solution

    |

  11. Prove that : tan^(-1)2+tan^(-1)3=(3pi)/4

    Text Solution

    |

  12. Prove that : tan^(-1)1+tan^(-1)2+tan^(-1)3=pi

    Text Solution

    |

  13. Prove that: sin^(-1)((12)/(13))+cos^(-1)(4/5)+tan^(-1)((63)/(16))=pi

    Text Solution

    |

  14. If tan^(-1)2+tan^(-1)3+theta=pi find the value of thetadot

    Text Solution

    |

  15. Prove that : tan^(-1)(1/7)+tan^(-1)(1/(13))=tan^(-1)(2/9)

    Text Solution

    |

  16. Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4dot

    Text Solution

    |

  17. tan^-1 (3/4) + tan^-1 (3/5) + tan^-1 (8/19)

    Text Solution

    |

  18. Prove that : tan^(-1)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=p...

    Text Solution

    |

  19. Prove that : cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3

    Text Solution

    |

  20. Prove that: tan^(-1)(1-x)/(1+x)-tan^(-1)(1-y)/(1+y)=sin^(-1)(y-x)/(sqr...

    Text Solution

    |