Различия

Показаны различия между двумя версиями страницы.

--- math-public:trigformulytest2 [2018/04/04 23:54] – labreslav
+++ math-public:trigformulytest2 [2018/04/06 10:59] (текущий) – labreslav
@@ Строка 1: / Строка 1: @@
-$\DeclareMathOperator{\tg}{tg}$
+$\DeclareMathOperator{\tg}{tg}$ $\DeclareMathOperator{\ctg}{ctg}$
-$\DeclareMathOperator{\ctg}{ctg}$
   - $\sin{2x} = 2\sin{x}\cos{x}$
-  - Три формулы $\cos{2x}=\cos^2{x}-\sin^2{x}$
+  - Три формулы $\cos{2x}=\cos^2{x}-\sin^2{x}=2\cos^2{x}-1=1-2\sin^2{x}$
   - $\sin{3x}=3\sin{x}-4\sin^3{x}$
   - $\cos{3x}=4\cos^3{x}-3\cos{x}$
@@ Строка 27: / Строка 25: @@
   - $\dfrac{1}{\cos^2{x}}=\tg^2{x}+1$
   - $\dfrac{1}{\sin^2{x}}=\ctg^2{x}+1$
-  - $\sin{(\pi-x)}$
-  - $\sin{(\pi+x)}$
-  - $\sin{\left(\dfrac{\pi}{2}-x\right)}$
-  - $\sin{\left(\dfrac{\pi}{2}+x\right)}$
-  - $\sin{\left(\dfrac{3\pi}{2}-x\right)}$
-  - $\sin{\left(\dfrac{3\pi}{2}+x\right)}$
-  - $\sin{(-x)}$
-  - $\cos{(\pi-x)}$
-  - $\cos{(\pi+x)}$
-  - $\cos{\left(\dfrac{\pi}{2}-x\right)}$
-  - $\cos{\left(\dfrac{\pi}{2}+x\right)}$
-  - $\cos{\left(\dfrac{3\pi}{2}-x\right)}$
-  - $\cos{\left(\dfrac{3\pi}{2}+x\right)}$
-  - $\cos{(-x)}$
-  - $\tg{(\pi-x)}$
-  - $\tg{(\pi+x)}$
-  - $\tg{\left(\dfrac{\pi}{2}-x\right)}$
-  - $\tg{\left(\dfrac{\pi}{2}+x\right)}$
-  - $\tg{\left(\dfrac{3\pi}{2}-x\right)}$
-  - $\tg{\left(\dfrac{3\pi}{2}+x\right)}$
-  - $\tg{(-x)}$
-  - $\ctg{(\pi-x)}$
-  - $\ctg{(\pi+x)}$
-  - $\ctg{\left(\dfrac{\pi}{2}-x\right)}$
-  - $\ctg{\left(\dfrac{\pi}{2}+x\right)}$
-  - $\ctg{\left(\dfrac{3\pi}{2}-x\right)}$
-  - $\ctg{\left(\dfrac{3\pi}{2}+x\right)}$
-  - $\ctg{(-x)}$