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Math
| Question | Answer |
|---|---|
| sin(x+y) | sin(x)* cos(y)+sin(y)*cos(x) |
| sin(x-y) | sin(x)* cos(y)-sin(y)*cos(x) |
| cos(x+y) | cos(x)* cos(y)-sin(x)*sin(y) |
| cos(x-y) | cos(x)*cos(y)+sin(x)*sin(y) |
| tg(x+y) | tg(x)+tg(y) —————— 1-tg(x)*tg(y) |
| tg(x-y) | tg(x)-tg(y) —————— 1+tg(x)*tg(y) |
| ctg(x+y) | ctg(x)*ctg(y)-1 ———————- ctg(x)+ctg(y) |
| ctg(x-y) | ctg(x)*ctg(y)+1 ———————- ctg(x)-ctg(y) |
| sin(-x) | -sin(x) |
| cos(-x) | cos(x) |
| tg(-x) | -tg (x) |
| ctg(-x) | -ctg(x) |
| sin(x)+sin(y) | 2 * sin((x+y)/2) * cos((x-y)/2) |
| sin(x)-sin(y) | 2 * sin((x-y)/2) * cos((x+y)/2) |
| cos(x)+cos(y) | 2 * cos((x-y)/2) * cos((x+y)/2) |
| cos(x)-cos(y) | - 2 * sin((x-y)/2) * sin((x+y)/2) |
| tg(x)+tg(y) | sin(x+y) ——————— cos(x) * cos (y) |
| tg(x)-tg(y) | sin(x-y) ——————— cos(x) * cos (y) |
| ctg(x)+ctg(y) | sin(y+x) ——————— sin(x) * sin (y) |
| ctg(x)-ctg(y) | sin(y-x) ——————— sin(x) * sin (y) |
| sin(x)*cos(y) | 1/2 * (sin(x+y)+sin(x-y)) |
| cos(x)*cos(y) | 1/2 * (cos(x+y)+cos(x-y)) |
| sin(x)*sin(y) | 1/2 * (cos(x+y)-cos(x-y)) |
| tg(x)*ctg(x) | 1 |
| 1+tg^2(x) | 1 ———— cos^2(x) |
| 1+tg^2(x) | 1 ———— sin^2(x) |
| cos(2x) | cos^2(x)-sin^2(x) |
| tg(2x) | 2*tg(x) ————— 1-tg^2(x) |
| ctg(2x) | ctg^2(x) - 1 —————— 2*ctg(x) |
| sin(2x) | 2*sin(x)*cos(y) |
Created by:
IlyasK