Home
Class 12
MATHS
If sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2 ...

If `sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2` then the value of x is: (1) 1 (2) 3 (3) 4 (4) 5

Text Solution

Verified by Experts

`sin^-1(x)=cosec^-1(1/x)`
`cosec^-1 5/4= sin^(-1)4/5=0`
`sin^-1(x/5)+theta=pi/2`
`sin^-1(x/5)+theta=pi/2`
`sin^-1(x/5)=pi/2-theta`
`x/5=sin(pi/2,-theta)`
`x/5=costheta`
`x/5=3/5`
...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If 4sin^(-1)x+3cos^(-1)x=2pi then x = ______

If sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x is a. 0 b. 1/(sqrt(5)) c. 2/(sqrt(5)) d. (sqrt(3))/2

Find the value of the polynomial 5x - 4x^(2) + 3 at x = -1.

The value of sin^(-1)("sin"(5pi)/3) is _____

The value of sin^(-1)("sin"(5pi)/3) is _____

The value of sin^(-1)("sin"(3pi)/5) is ______

If f(x)=sin^(-1)(3x-4x^(3)). Then answer the following The value of f'((1)/(sqrt2)) , is

If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a. 1/sqrt(5) b. 2/sqrt(5) c. 3/sqrt(5) d. sqrt(5)/3

If (x^(4)+2x.i )-(3x^(2)-iy)=(3-5i)+(1+2iy) then find the real value of x and y.

sin^(-1)((3x)/5)+sin^(-1)((4x)/5)=sin^(-1)x , then roots of the equation are- a. 0 b. 1 c. -1\ d. -2

ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. If sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2 then the value of x is: (1) ...

    Text Solution

    |

  4. The value of cot(cose c^(-1)5/3+tan^(-1)2/3) is: (1) 6/(17) (2) 3/...

    Text Solution

    |

  5. If x, y, z are in A.P. and tan^(-1)x , tan^(-1)y and t a n^(-1)z a...

    Text Solution

    |

  6. Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3))...

    Text Solution

    |

  7. Prove that costan^(-1)sincot^(-1)x=sqrt((x^2+1)/(x^2+2))

    Text Solution

    |

  8. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

    Text Solution

    |

  9. If sin{cot^(-1)(x+1)}=cos(tan^(-1)x), then find x

    Text Solution

    |

  10. The value of the lim(n->oo)tan{sum(r=1)^ntan^(- 1)(1/(2r^2))} is equal...

    Text Solution

    |

  11. Let (x, y) be such that sin^-1 (ax) + cos^-1 (y)+ cos^-1 (bxy)=pi/2 ...

    Text Solution

    |

  12. Let (x, y) be such that sin^-1 (ax) + cos^-1 (y)+ cos^-1 (bxy)=pi/2 ...

    Text Solution

    |

  13. Let (x, y) be such that sin^-1 (ax) + cos^-1 (y)+ cos^-1 (bxy)=pi/2 ...

    Text Solution

    |

  14. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

    Text Solution

    |

  15. Find the sum of the series underset(m=1) overset(infty) sum tan^(-1...

    Text Solution

    |

  16. (1/y^2 \ ((cos(tan^(-1) y) + y sin(tan^(-1) y))/(cot(sin^(-1) y) + tan...

    Text Solution

    |

  17. lf cos x + cosy-cos z = 0 = sin x + sin y + sin z then cos((x-y)/2)=

    Text Solution

    |

  18. Let f(x)=|1+sin^2x cos^2x4sin2xsin^2\ \ x1+cos^2x4sin2xsin^2xcos^2x1...

    Text Solution

    |

  19. If cot(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)(xsqrt(6))),\ x!=0, then possi...

    Text Solution

    |

  20. Let f:[-(pi)/(3),(2pi)/(3)]rarr[0,4] be a function defined as f(x) = ...

    Text Solution

    |