Home
Class 12
MATHS
Solve : "cos"(sin^(-1)x)=1/6...

Solve : `"cos"(sin^(-1)x)=1/6`

Text Solution

Verified by Experts

Let `sin^(-1)x = y`
`=> sin y = x `
As `sin^2y + cos^2y =1 `
`=>cosy=sqrt(1-sin^2x)`
Now,
`cos(sin^(-1)x)=1/6`
...
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

Solve: cos{2sin^(-1)(-x)}=0

Solve: cos{2sin^(-1)(-x)}=0

Solve for x : cos(2sin^(-1)x)=1/3

solve: cos(2sin^(-1)x)=(1)/(9)

Solve cos^(50)x-sin^(50)x=1

Solve the following equations : cos (sin^(-1) x) = 1/2

Solve for x : i) cos(sin^(-1)x)=1/2 ii) tan^(-1)x=sin^(-1)1/sqrt(2) iii) sin^(-1)x-cos^(-1)x=pi/6

Solve cos^(-1)(sin(cos^(-1)x))=(pi)/(3)

Solve cos^(50) x- sin^(50)x=1

Solve 2cos^(-1)x=sin^(-1)(2x sqrt(1-x^(2)))

RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. Evaluate: sin{tan^(-1)(7/(24))}

    Text Solution

    |

  2. Solve: "cos"{2sin^(-1)(-x)}=0

    Text Solution

    |

  3. Solve : "cos"(sin^(-1)x)=1/6

    Text Solution

    |

  4. Prove the following results: tan(cos^(-1)(4/5)+tan^(-1)(2/3))=(17)/6

    Text Solution

    |

  5. If a , b , c >0 and s=(a+b+c)/2,p rov et h a t tan^(-1)sqrt((2a s)/(b...

    Text Solution

    |

  6. If x^2+y^2+z^2=r^2,t h e ntan^(-1)((x y)/(z r))+tan^(-1)((y z)/(x r))+...

    Text Solution

    |

  7. If cj >0 for i=1,2,....., n prove that tan^(-1)((c1x-y)/(c1y+x)...

    Text Solution

    |

  8. Evaluate: tan^(-1)((3sin2alpha)/(5+3cos2alpha))+tan^(-1)(1/4 tan alpha...

    Text Solution

    |

  9. Prove that: sum(m=1)^ntan^(-1)((2m)/(m^4+m^2+2))=tan^(-1)((n^2+n)/(n^2...

    Text Solution

    |

  10. Sum the following series to infinity: tan^(-1)1/(1+1+1^2)+tan^(-1)1/(...

    Text Solution

    |

  11. Solve the equation: tan^(-1)sqrt(x^2+x)+sin^(-1)sqrt(x^2+x+1)=pi/2

    Text Solution

    |

  12. If a1,a2,a3, an are in arithmetic progression with common difference d...

    Text Solution

    |

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

    Text Solution

    |

  14. If x > y > z >0, then find the value of cot^(-1)(x y+1)/(x-y)+cot^(-1)...

    Text Solution

    |

  15. Find the maximum and minimum values of (sin^(-1)x)^3+(cos^(-1)x)^3, wh...

    Text Solution

    |

  16. the greatest and least values of (sin^(-1) x)^2+(cos^(-1)x)^2

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |