Expression 2: "f" left parenthesis, theta , right parenthesis equals StartFraction, cos left parenthesis, StartNestedFraction, pi NestedOver "n" , EndNestedFraction , right parenthesis Over cos left parenthesis, theta minus StartNestedFraction, pi NestedOver "n" , EndNestedFraction minus StartNestedFraction, 2 pi NestedOver "n" , EndNestedFraction floor left parenthesis, StartNestedFraction, "n" theta NestedOver 2 pi , EndNestedFraction , right parenthesis , right parenthesis , EndFractionfθ=cosπncosθ−πn−2πnfloornθ2π
2
Expression 3: "r" equals "f" left parenthesis, theta , right parenthesisr=fθ
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
2 pi2π
domain \theta Maximum:
3
Expression 4: Start integral from 0 to 2 pi , end integral, 1 half "f" left parenthesis, theta , right parenthesis squared "d" theta∫2π012fθ2dθ