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`(0,(pi)/2)``(0,(pi)/4)``[(pi)/4,(pi)/2)``{(pi)/4}`

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00:00 - 00:59 | welcome without net in the given if x is equal to COT inverse X ok and this function is defined for 02582 ok and is always positive OK then x is equal to 2 x minus b square are you are then range of the function f of GM the function f is equal to 2 x minus x square and this is the quadratic equation ok draw the figure of this question x minus x square ok this is a concave downward ok contact download maximum value of the function of the equation maximum value of quadratic equation |

01:00 - 01:59 | is equal to minus b by a minus b the value of B is and -2 2 into the value of k is equal to minus 1 and -1 is equal to 1 then we can say this is the x-axis then maximum value of the equation is equal to 1 ok and intersection point on the intersection point on the x-axis and out of the equation X square is equal to 2 x minus x square x x form 12 - x is equal to zero and x is equal to 2 graph his look like the point and this is the point 2010 range of |

02:00 - 02:59 | ZX range of GF can be written as minus infinity 21 OK then minus infinity 21 but in this question given in this question ki bahan the range of a function is always aplus ok positive value OK then we can say this value lies between ZX is lies between 0 to 1 ok and at one this is closed interval and this is a range of GX we have to find range of cot inverse X cot inverse X and this is equal to firstly draw the figure of this cot inverse X ok this is the co-ordinate Axes this is co-ordinate Axes and this is 8.0 and this is the point I OK then cot inverse X is lies between 0 to Pipe |

03:00 - 03:59 | and 8.5 by to this changes then this is look like and tends to infinity x is equal to zero x is equal to zero Y is equal to pi by 2 and x is equal to in 1880 and this is the value of pi but we have to find only 021 ok this is the hero and this is the point 1 OK then this is the intersection point on one then range of this range of this function is only disturb disturb and responding to the point 1 this value is equal to pi by 4 OK then range of range of aur inverse x is equal to pi by 4 22 ok this is closed interval ok |

04:00 - 04:59 | and this is the right answer of this question and when we see the option of this question then option the right answer this question ok 8.0 open interval at 10 this is open interval and at point pi by 4 at point x is equal to 1 this is closed interval OK then this is the right answer by 42 by 230 |