Sprendimas: A6J95x - 1
cos(α) =
| ( x1* x2+ y1* y2) |
/ ( saknis( x1^2+ y1^2)* saknis( x2^2+ y2^2)) |
|
|
cos(α) =
$$cos(\alpha)$$ = $$\frac{x1\cdot x2+y1\cdot y2}{\sqrt {x1^{2}+y1^{2}}\cdot \sqrt {x2^{2}+y2^{2}}}$$
| ( x1* x2+ y1* y2) |
| / ( saknis( x1^2+ y1^2)* saknis( x2^2+ y2^2)) |
cos(α) =
+
$$cos(\alpha)$$ = $$\frac{x1\cdot x2}{\sqrt {x1^{2}+y1^{2}}\cdot \sqrt {x2^{2}+y2^{2}}}+\frac{y1\cdot y2}{\sqrt {x1^{2}+y1^{2}}\cdot \sqrt {x2^{2}+y2^{2}}}$$
| x1* x2 |
| / saknis( x1^2+ y1^2)/ saknis( x2^2+ y2^2) |
| y1* y2 |
| / saknis( x1^2+ y1^2)/ saknis( x2^2+ y2^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{x1\cdot x2}{\sqrt {x1^{2}+y1^{2}}\cdot \sqrt {x2^{2}+y2^{2}}}+\frac{y1\cdot y2}{\sqrt {x1^{2}+y1^{2}}\cdot \sqrt {x2^{2}+y2^{2}}}))$$
| x1* x2 |
| / saknis( x1^2+ y1^2)/ saknis( x2^2+ y2^2) |
| y1* y2 |
| / saknis( x1^2+ y1^2)/ saknis( x2^2+ y2^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{1.5\cdot 2}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1.5* 2 |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{1.5\cdot 2}{\sqrt {2.25+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1.5* 2 |
| / saknis(2.25+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{1.5\cdot 2}{\sqrt {2.25+0}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1.5* 2 |
| / saknis(2.25+0)/ saknis( 2^2+ (- 2* saknis(3))^2) |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{1.5\cdot 2}{\sqrt {2.25}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1.5* 2 |
| / saknis(2.25)/ saknis( 2^2+ (- 2* saknis(3))^2) |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{1.5\cdot 2}{1.5\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1.5* 2 |
| / 1.5/ saknis( 2^2+ (- 2* saknis(3))^2) |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{1.5\cdot 2}{1.5\cdot \sqrt {4+(-2\cdot \sqrt {3})^{2}}}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1.5* 2 |
| / 1.5/ saknis(4+ (- 2* saknis(3))^2) |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{1.5\cdot 2}{1.5\cdot \sqrt {4+12}}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1.5* 2 |
| / 1.5/ saknis(4+12) |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{1.5\cdot 2}{1.5\cdot \sqrt {16}}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1.5* 2 |
| / 1.5/ saknis(16) |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{1.5\cdot 2}{1.5\cdot 4}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1.5* 2 |
| / 1.5/ 4 |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{2}{4}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 2 |
| / 4 |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
+
))$$\alpha$$ = $$arccos((\frac{1}{2}+\frac{0\cdot (-2\cdot \sqrt {3})}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1 |
| / 2 |
| 0* (- 2* saknis(3)) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot 2\cdot \sqrt {3}}{\sqrt {1.5^{2}+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1 |
| / 2 |
| 0* 2* saknis(3) |
| / saknis( 1.5^2+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot 2\cdot \sqrt {3}}{\sqrt {2.25+0^{2}}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1 |
| / 2 |
| 0* 2* saknis(3) |
| / saknis(2.25+ 0^2)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot 2\cdot \sqrt {3}}{\sqrt {2.25+0}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1 |
| / 2 |
| 0* 2* saknis(3) |
| / saknis(2.25+0)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot 2\cdot \sqrt {3}}{\sqrt {2.25}\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1 |
| / 2 |
| 0* 2* saknis(3) |
| / saknis(2.25)/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot 2\cdot \sqrt {3}}{1.5\cdot \sqrt {2^{2}+(-2\cdot \sqrt {3})^{2}}}))$$
| 1 |
| / 2 |
| 0* 2* saknis(3) |
| / 1.5/ saknis( 2^2+ (- 2* saknis(3))^2) |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot 2\cdot \sqrt {3}}{1.5\cdot \sqrt {4+(-2\cdot \sqrt {3})^{2}}}))$$
| 1 |
| / 2 |
| 0* 2* saknis(3) |
| / 1.5/ saknis(4+ (- 2* saknis(3))^2) |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot 2\cdot \sqrt {3}}{1.5\cdot \sqrt {4+12}}))$$
| 1 |
| / 2 |
| 0* 2* saknis(3) |
| / 1.5/ saknis(4+12) |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot 2\cdot \sqrt {3}}{1.5\cdot \sqrt {16}}))$$
| 1 |
| / 2 |
| 0* 2* saknis(3) |
| / 1.5/ saknis(16) |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot 2\cdot \sqrt {3}}{1.5\cdot 4}))$$
| 1 |
| / 2 |
| 0* 2* saknis(3) |
| / 1.5/ 4 |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot \sqrt {3}}{1.5\cdot 2}))$$
| 1 |
| / 2 |
| 0* saknis(3) |
| / 1.5/ 2 |
α = arccos((
-
))$$\alpha$$ = $$arccos((\frac{1}{2}-\frac{0\cdot \sqrt {3}}{3}))$$
| 1 |
| / 2 |
| 0* saknis(3) |
| / 3 |
α = arccos((
- 0* saknis(3)))$$\alpha$$ = $$arccos((\frac{1}{2}-0\cdot \sqrt {3}))$$
| 1 |
| / 2 |
3)))$$\alpha$$ = $$arccos((\frac{1}{2}-0\cdot \sqrt {3}))$$α = arccos((
))$$\alpha$$ = $$arccos((\frac{1}{2}))$$
| 1 |
| / 2 |
α = arccos(
)$$\alpha$$ = $$arccos(\frac{1}{2})$$
| 1 |
| / 2 |
α =
$$\alpha$$ = $$\frac{\pi}{3}$$
| π |
| / 3 |
α = 0.33333* π$$\alpha$$ = $$0.33333\cdot \pi$$
$$\alpha$$ = $$0.33333\cdot \pi$$