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

Solve
`"sin"^(-1)x-"cos"^(-1)x="cos"^(-1)sqrt(3)/(2)`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Solve: "sin"^(-1) x - "cos"^(-1)x="cos"^(-1) sqrt3/2

Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1) sqrt((p-x)/(p-q))="cot"^(-1) sqrt((p-x)/(x-q))

Solve: "sin"^(-1)2x+"sin"^(-1)x = pi/3 .

Solve equation "cos"^(-1)(x+1/2)+"cos"^(-1)x

Solve: 3 "sin"^(-1) (2x)/(1+x^2) -4"cos"^(-1) (1-x^2)/(1+x^2) +2 "tan"^(-1) (2x)/(1-x^2) = pi/3

Show that "sin"^(-1)(2xsqrt(1-x^(2)))=2"cos"^(-1)x,1/(sqrt(2))lexle1 .

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

Solve: "cos"^(-1) x +"sin"^(-1) x/2= pi/6

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Prove that abs((-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c))=4(b+c)(c+a)(...

    Text Solution

    |

  2. Show that the function f : R^+toR^+ defined by f (x) =x+1/x is injecti...

    Text Solution

    |

  3. Solve "sin"^(-1)x-"cos"^(-1)x="cos"^(-1)sqrt(3)/(2)

    Text Solution

    |

  4. Solve: 2sin^(-1) x +sin^(-1) (1-x)= pi/2

    Text Solution

    |

  5. Evaluate intln(x^2+x+2)dx

    Text Solution

    |

  6. int0^pi((xtanx)/(secx+tanx))dx

    Text Solution

    |

  7. Solve the differential equation (dy)/(dx)= (y-x+1)/(y+x+5).

    Text Solution

    |

  8. Differentiate cos^(-1)(sinx) w.r.t.x.

    Text Solution

    |

  9. int(cot xdx)/(ln sin x) = ?

    Text Solution

    |

  10. How many independent constants are there in the general equation of a ...

    Text Solution

    |

  11. What is the range of the signum function?

    Text Solution

    |

  12. If the vectors hati+2hatj+hatk & 2hati+3hatj+alphahatk are perpendicul...

    Text Solution

    |

  13. Between tan 1 and tan^(-1)1, which is greater?

    Text Solution

    |

  14. Answer the following: In which inverval does the determinant A =[[1...

    Text Solution

    |

  15. What is AB – BA if A, B and AB are all symmetric matrices .

    Text Solution

    |

  16. If y =(cosx+sinx)/cosx, then what is dy/dx ?

    Text Solution

    |

  17. Write the order of the differential equation whose general solution is...

    Text Solution

    |

  18. Consider the binary operation * on the set {1,2,3,4,5} defined by a*...

    Text Solution

    |

  19. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

    Text Solution

    |

  20. Find the feasible solution region of the following system of inequatio...

    Text Solution

    |