Home
Class 12
MATHS
Of the solution of equation "sin"(tan^(-...

Of the solution of equation `"sin"(tan^(-1)x)=sqrt(4-["sin"(cos^(-1)x)+"cos"(sin^(-1)x)]^2)` is `a ,` then `sin^(-1)a+cos^(-1)a=pi/2` `2sin^(-1)a+cos^(-1)a=pi/2` `sin^(-1)a+3cos^(-1)a=(3pi)/2` `tan^(-1)a+cos^(-1)a=pi/2`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The number of solutions for the equation sin^(-1) sqrt((x^(2)-x+1))+cos^(-1)sqrt((x^(2)-x))=pi is :

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

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

The number of real solution(s) of the equation sin^(-1)sqrt(x^(2)-x+1)+cos^(-1)sqrt(x^(2)-x)=pi is/are

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

If sin ^(-1) x + sin ^(-1) y = (pi)/(6) , then cos^(-1) x + cos ^(-1) y =?

Find the number of real solutions of the equation sin^(-1)(e^(x))+cos^(-1)(x^(2))=pi//2 .

The solutions of the equation 1+(sin x - cos x)"sin" pi/4=2 "cos"^(2) (5 x)/2 is/are

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

The number of the solutions of the equation 2 sin^(-1) sqrt(x^(2) + x + 1) + cos^(-1) sqrt(x^(2) + x) = (3pi)/(2) is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. For the set A={1,\ 2,\ 3} , define a relation R on the set A as follow...

    Text Solution

    |

  2. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal t...

    Text Solution

    |

  3. Of the solution of equation "sin"(tan^(-1)x)=sqrt(4-["sin"(cos^(-1)x)+...

    Text Solution

    |

  4. Let A={a , b , c) and the relation R be defined on A as follows: R={(a...

    Text Solution

    |

  5. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

  6. (51 3)+(50 3)+(49 3)+(48 3)+(47 3)+(47 4) is equal to (where (n r) d...

    Text Solution

    |

  7. A die is thrown 500 times with frequency for outcomes 1, 2, 3,4, 5, 6 ...

    Text Solution

    |

  8. In a group of 60 persons, each takes at least one of coffee or tea. If...

    Text Solution

    |

  9. If a+b+c=2,a^(2)+b^(2)+c^(2)=1 and abc = 3 then 1/a+1/b+1/c is equal t...

    Text Solution

    |

  10. Find the shortest distance between the lines (x+3)/(-4) =(y-6)...

    Text Solution

    |

  11. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos^...

    Text Solution

    |

  12. If alpha + beta = 90^@ and beta + gamma = alpha then tanalpha-tanbeta=...

    Text Solution

    |

  13. Let the solution of the equation 5^(1+(log)4x)+5^(-1-1(log)4x)=(26)/5 ...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. Show that the relation R defined in the set A of all triangles as R={...

    Text Solution

    |

  16. The number of distinct normals that can be drawn from (2,-1) to the pa...

    Text Solution

    |

  17. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then

    Text Solution

    |

  18. If 4a^2+b^2+2c^2+4a b-6a c-3b c=0, then the family of lines a x+b y+c=...

    Text Solution

    |

  19. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  20. A 10 digit numbers is chosen with odd digits. If the probability th...

    Text Solution

    |