36 ___ \ ` \ /pi*n\ ) cos|----| / \180 / /__, n = 1
Sum(cos((pi*n)/180), (n, 1, 36))
___________ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________\ / ___________ \ / ___________\ / ___________\ / ___________\ ___________ ___________ ___________ ___________ / ___ | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ | | / ___ / ___\| | / ___ | | / ___\ / ___ | | / ___ | / ___ / ___ / ___\ / ___ / ___ / ___\ / ___\ ___________ / 5 \/ 5 | / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 ___ |1 \/ 5 || | / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 ___ |1 \/ 5 || | / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 | | ___ / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 | | ___ |1 \/ 5 | ___ / 5 \/ 5 | | ___ / 5 \/ 5 | ___ / 5 \/ 5 ___ / 5 \/ 5 ___ |1 \/ 5 | ___ / 5 \/ 5 ___ / 5 \/ 5 ___ |1 \/ 5 | ___ |1 \/ 5 | / ___ ___ ___ / - - ----- ___ ___ | / - - ----- \/ 3 *|- + -----|| |\/ 2 * / - - ----- \/ 2 *|- + -----|| | / - + ----- \/ 3 *|- - -----|| |\/ 2 * / - + ----- \/ 2 *|- - -----|| | / - - ----- \/ 3 *|- + -----|| |\/ 2 * / - - ----- \/ 2 *|- + -----|| |\/ 2 * / - - ----- \/ 2 *|- + -----|| | ___ \/ 3 * / - - ----- | |\/ 2 * / - + ----- \/ 2 *|- - -----|| | ___ \/ 3 * / - + ----- | |\/ 2 *|- + -----| \/ 2 * / - - ----- | | ___ \/ 3 * / - - ----- | \/ 2 * / - - ----- \/ 2 * / - + ----- \/ 2 *|- + -----| \/ 3 * / - - ----- \/ 3 * / - + ----- \/ 3 *|- + -----| \/ 2 *|- - -----| 1 / 5 \/ 5 \/ 3 \/ 5 \/ 8 8 \/ 2 \/ 6 |\/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| |\/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| |1 \/ 5 \/ 8 8 | | \/ 8 8 \4 4 /| |1 \/ 5 \/ 8 8 | | \4 4 / \/ 8 8 | | 1 \/ 5 \/ 8 8 | \/ 8 8 \/ 8 8 \4 4 / \/ 8 8 \/ 8 8 \4 4 / \4 4 / /pi\ /pi\ /pi\ /pi\ /pi\ / pi\ /2*pi\ /4*pi\ /5*pi\ /7*pi\ /7*pi\ /7*pi\ /7*pi\ /8*pi\ /11*pi\ /11*pi\ /13*pi\ /13*pi\ /17*pi\ /17*pi\ /19*pi\ /23*pi\ /29*pi\ /31*pi\ - + / - + ----- + ----- + ----- + ---------------- + ----- + ----- + |---------------- + -----------------|*|---------------------- + -----------------| + |---------------- - -----------------|*|---------------------- + -----------------| + |- ---------------- + -----------------|*|---------------------- - -----------------| + |---------------------- + -----------------|*|- + ----- + ----------------------| + |---------------------- - -----------------|*|- - ----- + ----------------------| + |----------------- - ----------------------|*|- - - ----- + ----------------------| + ---------------------- + ---------------------- + ----------------- + ---------------------- + ---------------------- + ----------------- - ----------------- + cos|--| + cos|--| + cos|--| + cos|--| + cos|--| + cos|---| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|-----| + cos|-----| + cos|-----| + cos|-----| + cos|-----| + cos|-----| + cos|-----| + cos|-----| + cos|-----| + cos|-----| 4 \/ 8 8 2 2 2 4 4 \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \8 8 2 / \ 2 2 / \8 8 2 / \ 2 2 / \ 8 8 2 / 2 2 2 2 2 2 2 \9 / \18/ \36/ \45/ \90/ \180/ \ 45 / \ 45 / \ 36 / \ 36 / \ 45 / \ 90 / \180 / \ 45 / \ 90 / \ 180 / \ 90 / \ 180 / \ 90 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 /
1/4 + sqrt(5/8 + sqrt(5)/8) + sqrt(3)/2 + sqrt(5)/2 + sqrt(5/8 - sqrt(5)/8)/2 + sqrt(2)/4 + sqrt(6)/4 + (sqrt(5/8 - sqrt(5)/8)/2 + sqrt(3)*(1/4 + sqrt(5)/4)/2)*(sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2 + sqrt(2)*(1/4 + sqrt(5)/4)/2) + (sqrt(5/8 + sqrt(5)/8)/2 - sqrt(3)*(1/4 - sqrt(5)/4)/2)*(sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2 + sqrt(2)*(1/4 - sqrt(5)/4)/2) + (-sqrt(5/8 - sqrt(5)/8)/2 + sqrt(3)*(1/4 + sqrt(5)/4)/2)*(sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2 - sqrt(2)*(1/4 + sqrt(5)/4)/2) + (sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2 + sqrt(2)*(1/4 + sqrt(5)/4)/2)*(1/8 + sqrt(5)/8 + sqrt(3)*sqrt(5/8 - sqrt(5)/8)/2) + (sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2 - sqrt(2)*(1/4 - sqrt(5)/4)/2)*(1/8 - sqrt(5)/8 + sqrt(3)*sqrt(5/8 + sqrt(5)/8)/2) + (sqrt(2)*(1/4 + sqrt(5)/4)/2 - sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2)*(-1/8 - sqrt(5)/8 + sqrt(3)*sqrt(5/8 - sqrt(5)/8)/2) + sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2 + sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2 + sqrt(2)*(1/4 + sqrt(5)/4)/2 + sqrt(3)*sqrt(5/8 - sqrt(5)/8)/2 + sqrt(3)*sqrt(5/8 + sqrt(5)/8)/2 + sqrt(3)*(1/4 + sqrt(5)/4)/2 - sqrt(2)*(1/4 - sqrt(5)/4)/2 + cos(pi/9) + cos(pi/18) + cos(pi/36) + cos(pi/45) + cos(pi/90) + cos(pi/180) + cos(2*pi/45) + cos(4*pi/45) + cos(5*pi/36) + cos(7*pi/36) + cos(7*pi/45) + cos(7*pi/90) + cos(7*pi/180) + cos(8*pi/45) + cos(11*pi/90) + cos(11*pi/180) + cos(13*pi/90) + cos(13*pi/180) + cos(17*pi/90) + cos(17*pi/180) + cos(19*pi/180) + cos(23*pi/180) + cos(29*pi/180) + cos(31*pi/180)
x^n/n
(x-1)^n
1/2^(n!)
n^2/n!
x^n/n!
k!/(n!*(n+k)!)
csc(n)^2/n^3
1/n^2
1/n^4
1/n^6
1/n
(-1)^n
(-1)^(n + 1)/n
(n + 2)*(-1)^(n - 1)
(3*n - 1)/(-5)^n
(-1)^(n - 1)*n/(6*n - 5)
(-1)^(n + 1)/n*x^n
(3*n - 1)/(-5)^n