math-public:trigformulytest2
Это старая версия документа!
$\DeclareMathOperator{\tg}{tg}$ $\DeclareMathOperator{\ctg}{ctg}$
- $\sin{2x} = 2\sin{x}\cos{x}$
- Три формулы $\cos{2x}=\cos^2{x}-\sin^2{x}$
- $\sin{3x}=3\sin{x}-4\sin^3{x}$
- $\cos{3x}=4\cos^3{x}-3\cos{x}$
- $\tg{2x}=\dfrac{2\tg{x}}{1-\tg^2{x}}$
- $\sin{(x+y)}=\sin{x}\cos{y}+\cos{x}\sin{y}$
- $\sin{(x-y)}=\sin{x}\cos{y}-\cos{x}\sin{y}$
- $\cos{(x+y)}=\cos{x}\cos{y}-\sin{x}\sin{y}$
- $\cos{(x-y)}=\cos{x}\cos{y}+\sin{x}\sin{y}$
- $\tg{(x+y)}=\dfrac{\sin{x+y}}{\cos{x}\cos{y}}$
- $\tg{(x-y)}=\dfrac{\sin{x-y}}{\cos{x}\cos{y}}$
- $\sin^2{x}=\dfrac{1-\cos{2x}}{2}$
- $\cos^2{x}=\dfrac{1+\cos{2x}}{2}$
- Универсальная подстановка $\sin{x}=\dfrac{2\tg{\dfrac{x}{2}}{1+\tg^2{\dfrac{x}{2}}}$
- Универсальная подстановка $\cos{x}=\dfrac{2\tg{1-\tg{\dfrac{x}{2}}}{1+\tg^2{\dfrac{x}{2}}}$
- $\cos{x}+\cos{y}$
- $\cos{x}-\cos{y}$
- $\sin{x}+\sin{y}$
- $\sin{x}-\sin{y}$
- $\cos{x}\cos{y}$
- $\sin{x}\sin{y}$
- $\sin{x}\cos{y}$
- $\dfrac{1}{\cos^2{x}}$
- $\dfrac{1}{\sin^2{x}}$
- $\sin{(\pi-x)}$
- $\sin{(\pi+x)}$
- $\sin{\left(\dfrac{\pi}{2}-x\right)}$
- $\sin{\left(\dfrac{\pi}{2}+x\right)}$
- $\sin{\left(\dfrac{3\pi}{2}-x\right)}$
- $\sin{\left(\dfrac{3\pi}{2}+x\right)}$
- $\sin{(-x)}$
- $\cos{(\pi-x)}$
- $\cos{(\pi+x)}$
- $\cos{\left(\dfrac{\pi}{2}-x\right)}$
- $\cos{\left(\dfrac{\pi}{2}+x\right)}$
- $\cos{\left(\dfrac{3\pi}{2}-x\right)}$
- $\cos{\left(\dfrac{3\pi}{2}+x\right)}$
- $\cos{(-x)}$
- $\tg{(\pi-x)}$
- $\tg{(\pi+x)}$
- $\tg{\left(\dfrac{\pi}{2}-x\right)}$
- $\tg{\left(\dfrac{\pi}{2}+x\right)}$
- $\tg{\left(\dfrac{3\pi}{2}-x\right)}$
- $\tg{\left(\dfrac{3\pi}{2}+x\right)}$
- $\tg{(-x)}$
- $\ctg{(\pi-x)}$
- $\ctg{(\pi+x)}$
- $\ctg{\left(\dfrac{\pi}{2}-x\right)}$
- $\ctg{\left(\dfrac{\pi}{2}+x\right)}$
- $\ctg{\left(\dfrac{3\pi}{2}-x\right)}$
- $\ctg{\left(\dfrac{3\pi}{2}+x\right)}$
- $\ctg{(-x)}$
math-public/trigformulytest2.1522874973.txt.gz · Последнее изменение: 2018/04/04 23:49 — labreslav