Home
Class 12
MATHS
If cos(sin^(-1)(2/5)+cos^(-1)x)=0 find ...

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

Text Solution

Verified by Experts

Given, `cos(sin^(-1)(2/5)+cos^(-1)x)=0`
=`sin^(-1)(2/5)+cos^(-1)x=cos^(-1)0`
=`sin^(-1)(2/5)+cos^(-1)x=pi/2`
=`sin^(-1)(2/5)=pi/2-cos^(-1)x`
=`sin^(-1)(2/5)=sin^(-1)x`
=`x=2/5`
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(sin^(-1)((1)/(5))+cos^(-1)(x))=1 Find the value of x

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

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

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

If sin(cos^(-1)(5)/(13)+sin^(-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 cos (2 sin^(-1) x) = (1)/(9) , then find the value of x

If cos(2sin^(-1)x)=(1)/(9), then find the values of x.

RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. If tan^(-1)x-cot^(-1)x=tan^(-1)""1/(sqrt(3)) find the value of xdot

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate : cos(2cos^(-1)x+sin^(-1)x)a tx=1/5

    Text Solution

    |

  5. Let f(x)=e^(cos^(-1){sin(x+pi/3)}) Then, f((8pi)/9)= (a)e^(5pi//18...

    Text Solution

    |

  6. If u=cot^(-1)sqrt(tanalpha)-tan^(-1)sqrt(tanalpha),t h e ntan(pi/4- u/...

    Text Solution

    |

  7. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

    Text Solution

    |

  8. If alpha=tan^(-1)(t a n(5pi)/4)a n dbeta=tan^(-1)(-tan(2pi)/3),t h e n...

    Text Solution

    |

  9. The domain of cos^(-1)(x^2-4) is (a) [3,5] (b) [-1,1] (c)[-sqrt(5),-...

    Text Solution

    |

  10. In a A B C , , if C is a right angle, then tan^(-1)(a/(b+c))+tan^(-1...

    Text Solution

    |

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

    Text Solution

    |

  12. Solve the following equations: sin[2cos^(-1)"{"cot"("2tan^(-1)x"}]...

    Text Solution

    |

  13. Solve the equation of x:sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

    Text Solution

    |

  14. cos(sin^-1 (3/5)+ cot^-1(3/2)) = 6/(5sqrt13)

    Text Solution

    |

  15. Prove that : tan^(-1)((63)/(16))=sin^(-1)((5)/(13))+cos^(-1)((3)/(5))

    Text Solution

    |

  16. Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

    Text Solution

    |

  17. Solve the following equation for x : 3sin^(-1)(2x)/(1+x^2)-4cos^(-1)(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Prove that: sin{tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2))}=1

    Text Solution

    |