Home
Class 12
MATHS
Let f(x) = cos^(-1) [(1)/(sqrt13) (2 co...

Let `f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]`. Then f(0.5) =

A

`0.5`

B

1

C

0

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST PAPER -II

    MODERN PUBLICATION|Exercise SELECT CORRECT ANSWER|60 Videos

  • MOCK TEST PAPER -IV

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = |sin x|. Then

Let f(x) =cos x sin 2x , then :

If f(x) = cos^(-1) [(1-(log x)^(2))/(1+(log x)^(2))] , then f^(')(e) =

Let f(x) = e^(cos^(-1)sin(x + pi//3)) , Then :

If f(x) = (1-x)/(1+x) , then f[f(cos x)] =

Let f(x)=x-1/x" then "f'(-1)

Let f(x) = (1 - cos px)/(x sin x) , where x ne 0 and f(0) = (1)/(2) . If f is continuous at 0, then p is equal to :

Let f(x) = x - 1/x , then f' (-1) is

MODERN PUBLICATION-MOCK TEST PAPER -III-SELECT THE CORRECT ANSWER
  1. f(x) = {:{(3x-8,"if"x le 5),(2k," if"x gt 5):}

    Text Solution

    |

  2. If x+y=tan^(-1)y and (d^(2)y)/(dx^(2))=f(y)(dy)/(dx) then f(y)=

    Text Solution

    |

  3. Let f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]. Then f(0.5) =

    Text Solution

    |

  4. If y=(1+x)(1+x^(2))(1+x^(4)), then (dy)/(dx) at x=1 is

    Text Solution

    |

  5. If y = (tan^(-1)x)^(2) then show that (x^(2) + 1)^(2) (d^2 y)/(dx^2) +...

    Text Solution

    |

  6. If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+....

    Text Solution

    |

  7. The maximum area of rectangle that can be inscribed in a circle of rad...

    Text Solution

    |

  8. A stone is dropped into a quiet lake and waves in circles at the speed...

    Text Solution

    |

  9. A gardener is digging a plot of land. As he gets tired, he works more ...

    Text Solution

    |

  10. If f(x)=x^(3) and g(x)=x^(3)-4x in -2ltxlt2 then consider the statem...

    Text Solution

    |

  11. int 1/(x^(2)(x^(4)+1)^(3//4)) dx is equal to .

    Text Solution

    |

  12. in (sin^(2)x)/(1+cos x) dx=

    Text Solution

    |

  13. int e^(x)(1+sin x)/(1+cos x) dx is equal to

    Text Solution

    |

  14. The value of int(-1)^(2)(|x|)/(x) dx is

    Text Solution

    |

  15. int(0)^(pi/2)(cos^(4)x)/(cos^(4)x+sin^(4)x) dx =

    Text Solution

    |

  16. The area bounded by the curve y= sin((x)/(3)), x-axis and lines x=0 an...

    Text Solution

    |

  17. The particular solution of (y)/(x)(dy)/(dx)=(1+y^(2))/(1+x^(2)) when x...

    Text Solution

    |

  18. The solution of the differential equation (dy)/(dx)=(x+y)^(2) is

    Text Solution

    |

  19. The angle between the lines whose direction cosines satisfy the equat...

    Text Solution

    |

  20. The distance of the point (1,0,2) from the point of intersection of t...

    Text Solution

    |