3. The range of a cosecant function is . The equations of two consecutive asymptotes of the function are x = 0 and x = 2pi . The function is not a reflection over the x-axis. What is the equation of this cosecant function?

-2

Step-by-step explanation:

The  midline  of  this  function  is  y  =  [ -9  + 5 ]  / 2   =  -4/2 =  -2

 

The amplitude of the  function  is abs value ( [-9  -5] /2)  =  abs value (-14/2 )  =abs value (-7)   = 7

 

The period  is  twice as  long as  the regular csc function

 

The equation is

 

y  = 7 csc (x/2)  - 2

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )