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Graph\;of\; the\; Function\; f(x)\,=\,a.sin(bx)\,+\,c

Graph\;of\; the\; Function\; g(x)\,=\,a.cos(bx)\,+\,c

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a = 1 (slider from -5 to 5, step 0.5)
f = Function(sin(x), 0, 1000)
g = Function(cos(x), 0, 1000)
b = 1 (slider from 0 to 5, step 0.5)
c = 0 (slider from -5 to 5, step 0.5)
d = false
e = false
f_1 = Function((a * sin((b * x))) + c, 0, 1000)
g_1 = Function((a * cos((b * x))) + c, 0, 1000)
K, L, M, N, O, P, Q, R, S, T = Extremum(f, 0, 30)
A, B, C, D, E, F, G, H, I, J, U, V, W, Z, Z_1, A_2, B_2, C_2, D_2, J_2, K_2, L_2, M_2, N_2, S_2, T_2, U_2, V_2, W_2, E_3, F_3, G_3, H_3, N_3, O_3, P_3, Q_3, R_3, S_3, T_3, U_3, V_3, W_3, Z_3, A_4, M_4, N_4, O_4, P_4, Q_4, R_4, S_4, T_4, U_4, V_4, W_4, Z_4, A_5, B_5, C_5 = Extremum(f_1, 0, 30)
A_1, B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, N_1, E_2, F_2, G_2, H_2, I_2, O_2, P_2, Q_2, R_2, Z_2, A_3, B_3, C_3, D_3, I_3, J_3, K_3, L_3, M_3, B_4, C_4, D_4, E_4, F_4, G_4, H_4, I_4, J_4, K_4, L_4, D_5, E_5, F_5, G_5, H_5, I_5, J_5, K_5, L_5, M_5, N_5, O_5, P_5, Q_5, R_5 = Extremum(g_1, 0, 30)
O_1, P_1, Q_1, R_1, S_1, T_1, U_1, V_1, W_1 = Extremum(g, 0, 30)
h = Line((0, y(A)), (100, y(A)))
i = Line((0, y(B)), (100, y(B)))
poly1, k, l, m, n, p = Polygon((0, y(A)), (0, y(B)), ((2 * π / b), y(B)), ((2 * π / b), y(A)), (0, y(A)))
o = false
q = false
r = Line((0, y(A_1)), (100, y(A_1)))
s = Line((0, y(B_1)), (100, y(B_1)))
t = false
u = false
poly3, e_1, h_1, i_1, j_1, k_1 = Polygon((0, y(A_1)), (0, y(B_1)), ((2 * π / b), y(B_1)), ((2 * π / b), y(A_1)), (0, y(A_1)))
text1: "f(x)=" + (LaTeX[f]) + ""
text2: "f_1(x)=" + (LaTeX[f_1]) + ""
text5: "g_1(x)=" + (LaTeX[g_1]) + ""
text4: "g(x)=" + (LaTeX[g]) + " "