sin 1x = sin
sin 2x = 2cos sin
sin 3x = -sin3+3cos2sin
sin 4x = -4cos sin3+4cos3sin
sin 5x = sin5-10cos2sin3+5cos4sin
sin 6x = 6cos sin5-20cos3sin3+6cos5sin
sin 7x = -sin7+21cos2sin5-35cos4sin3+7cos6sin
sin 8x = -8cos sin7+56cos3sin5-56cos5sin3+8cos7sin
sin 9x = sin9-36cos2sin7+126cos4sin5-84cos6sin3+9cos8sin
sin 10x = 10cos sin9-120cos3sin7+252cos5sin5-120cos7sin3+10cos9sin
sin 11x = -sin11+55cos2sin9-330cos4sin7+462cos6sin5-165cos8sin3+11cos10sin
sin 12x = -12cos sin11+220cos3sin9-792cos5sin7+792cos7sin5-220cos9sin3+12cos11sin
sin 13x = sin13-78cos2sin11+715cos4sin9-1716cos6sin7+1287cos8sin5-286cos10sin3+13cos12sin
sin 14x = 14cos sin13-364cos3sin11+2002cos5sin9-3432cos7sin7+2002cos9sin5-364cos11sin3+14cos13sin
sin 15x = -sin15+105cos2sin13-1365cos4sin11+5005cos6sin9-6435cos8sin7+3003cos10sin5-455cos12sin3+15cos14sin
sin 16x = -16cos sin15+560cos3sin13-4368cos5sin11+11440cos7sin9-11440cos9sin7+4368cos11sin5-560cos13sin3+16cos15sin
sin 17x = sin17-136cos2sin15+2380cos4sin13-12376cos6sin11+24310cos8sin9-19448cos10sin7+6188cos12sin5-680cos14sin3 + 17cos16sin
sin 18x = 18cos sin17-816cos3sin15+8568cos5sin13-31824cos7sin11+48620cos9sin9-31824cos11sin7+8568cos13sin5-816cos15sin3 + 18cos17sin
Not: Tek başına sin yazanlar sinx tek başına cos yazanlar cosx dir.