the graph of a trigonometric function intersects its midline at
(
−
1
2
π
,
3.3
)
(−
2
1

π,3.3)left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, pi, comma, 3, point, 3, right parenthesis and it has a maximum point at
(
−
2
π
,
9.8
)
(−2π,9.8)left parenthesis, minus, 2, pi, comma, 9, point, 8, right parenthesis.
What is the period of the function?

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

addition

step-by-step explanation: