Namnlös graf | Desmos

Uttryck 8: "y" equals "x" times tangent left parenthesis, StartFraction, 2 pi Over 5 , EndFraction , right parenthesis

A little trig shows the length of that hypotenuse is then just

Uttryck 10: secant left parenthesis, StartFraction, 2 pi Over 5 , EndFraction , right parenthesis equals 3.2 3 6 0 6 7 9 7 7 5

equals

3.2 3 6 0 6 7 9 7 7 5

Alright, we're ready to graph this in one function! Turn off all of the above. Then Define our f(x) (don't graph it):

Uttryck 12: "f" left parenthesis, "x" , right parenthesis equals StartFraction, 1 Over cos left parenthesis, "x" plus StartNestedFraction, 2 pi NestedOver 5 , EndNestedFraction floor left parenthesis, StartNestedFraction, "x" NestedOver 2 pi , EndNestedFraction , right parenthesis , right parenthesis , EndFraction

Now turn on this graph to see the whole thing:

Uttryck 14: "r" equals "f" left parenthesis, theta minus "a" , right parenthesis left brace, StartAbsoluteValue, "f" left parenthesis, theta minus "a" , right parenthesis , EndAbsoluteValue less than sec left parenthesis, StartFraction, 2 pi Over 5 , EndFraction , right parenthesis , right brace

domän \theta minimum:

less than or equal to theta less than or equal to

12 pi

domän \theta maximum:

With a slider, of course:

Uttryck 16: "a" equals 0

negative 10

driven av