Home
Class 12
MATHS
If sin^(-1)(1/3)+cos^(-1)x=pi/2,then fin...

If `sin^(-1)(1/3)+cos^(-1)x=pi/2`,then find `x`

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

If sin^(-1)(5/x)+cos^(-1)(x/5)=pi/2 ,then find x.

If sin^(-1)x+2cos^(-1)x=(2pi)/3 , then find x.

If |sin^(-1)x|+|cos^(-1)x| = pi/2, then x in

If sin^(- 1)(x)+sin^(- 1)(2x)=pi/3 then x=

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

If 4sin^(-1)x+cos^(-1)x=pi , then x is equal to

If sin^(-1)x-cos^(-1)x=pi/6 , then x= (a) 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

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

Prove that sin^(-1) cos (sin^(-1) x) + cos^(-1) x) = (pi)/(2), |x| le 1

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

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Write the principal value of cos^(-1)(cos((2pi)/3))+sin^(-1)(sin((2pi)...

    Text Solution

    |

  2. Find x if tan^(-1)(sqrt(3))+cot^(-1)x=pi/2

    Text Solution

    |

  3. If sin^(-1)(1/3)+cos^(-1)x=pi/2,then find x

    Text Solution

    |

  4. Write the value of 2sin^(-1)\ 1/2+cos^(-1)((a-b)/(a+b))

    Text Solution

    |

  5. Evaluate: sin^(-1)(sin((3pi)/5))

    Text Solution

    |

  6. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

    Text Solution

    |

  7. Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

    Text Solution

    |

  8. Evaluate: tan{cos^(-1)(-7/(25))}

    Text Solution

    |

  9. Evaluate: sin{sin^(-1)(-(3)/5)+cot^(-1)(-5/(12))}

    Text Solution

    |

  10. If -1lt=x , ylt=1 such that sin^(-1)x+sin^(-1)y=pi/2, find the value o...

    Text Solution

    |

  11. If tan^(-1)x+tan^(-1)y=(4pi)/5, find cot^(-1)x+cot^(-1)ydot

    Text Solution

    |

  12. If tan^(-1)x-cot^(-1)x=tan^(-1)""1/(sqrt(3)) find the value of xdot

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The domain of cos^(-1)(x^2-4) is

    Text Solution

    |