Home
Class 12
MATHS
Find sin[frac[pi][2]-sin^(-1)(-frac[1][2...

Find `sin[frac[pi][2]-sin^(-1)(-frac[1][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

Find the value of the following: sin(sin^(-1)frac[1][2]+cos^(-1)frac[1][2])

Find frac[dy][dx] if y=tan^(-1)(frac[sqrt(a^2+x^2)+sqrt(a^2-x^2)][sqrt(a^2+x^2)-sqrt(a^2-x^2)))+frac[1][2]cos^(-1)(frac[1-x][1+x]) , by substitution.

Find the intervals where the function f(x)=tanx-4(x-2) is increasing and decreasing on (-frac[pi][2],frac[pi][2])

If sin^(-1)frac[x][5]+cosec^(-1)frac[5][4]=frac[pi][2] , then what is the value of x?

Show that sin^(-1)frac[12][13]+cos^(-1)frac[4][5]+tan^(-1)frac[63][16]=pi

If y=tan^(-1)(frac[1+sinx][1-sinx])^(frac[1][2]) and z=log(frac[1+cosx][1-cosx]) , then prove that frac[dy][dx]=frac[-sinx][4]

Fill in the blanks choosing correct answer from the brackets. The principal value of sin^(-1)(-frac[sqrt3][2]) is ____ (-frac[2pi][3],-frac[pi][3],frac[4pi][3])

Show that sin^(-1)sqrt(frac[x-q][p-q])=cos^(-1)sqrt(frac[p-x][p-q])=cot^(-1)sqrt(frac[p-x][x-q])

Write the order and degree of the differential equation frac[dy][dx]= [1+(frac[d^2y][dx^2])^2]^(frac[2][3]

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Let A={1,2,3}, which of the following functions on A is invertible?

    Text Solution

    |

  2. Let A={1,2,3}, which of the following functions on A is invertible?

    Text Solution

    |

  3. Find sin[frac[pi][2]-sin^(-1)(-frac[1][2])]

    Text Solution

    |

  4. Find the number of all possible matrices of order 3xx3 with each of ...

    Text Solution

    |

  5. Find the value of x if abs[[2,3],[4,5]]=abs[[x,3],[2x,5]]

    Text Solution

    |

  6. If A is a square matrix of order 2, then find det(adjA).

    Text Solution

    |

  7. Evaluate inte^(x)(sinx+cosx)dx.

    Text Solution

    |

  8. Write the differential equation having y=C1e^x+C2e^x as its general so...

    Text Solution

    |

  9. If veca is a non zero vector of magnitude abs(veca) and lambda is a no...

    Text Solution

    |

  10. Find the value of haticdot(hatjtimeshatk)+hatjcdot(hatitimeshatk)+hatk...

    Text Solution

    |

  11. Are the lines frac[x][1]=frac[y][2]=frac[z][3] and frac[x-1][-2]=frac[...

    Text Solution

    |

  12. Solve LPP : Maximize Z=20x1+30x2 subject to constraints 3x1+5x2le15, x...

    Text Solution

    |

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

    Text Solution

    |

  14. Let ast be a binary operation on the set of real numbers, defined by a...

    Text Solution

    |

  15. Let ast be a binary operation on the set of real numbers, defined by a...

    Text Solution

    |

  16. Let ast be a binary operation on the set of real numbers, defined by a...

    Text Solution

    |

  17. If a relation R is defined on the set Z of integers as following (a,b)...

    Text Solution

    |

  18. If A=[[2,0,-3],[4,3,1],[-5,7,2]] is expressed as sum of a symmetric an...

    Text Solution

    |

  19. Given the equations x=cy+bz, y=az+cx and z=bx+ay where x,y and z a...

    Text Solution

    |

  20. Find A^2-5A+6 if A=[[2,0,1],[2,1,3],[1,-1,0]]

    Text Solution

    |