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I need to know more about maths and English and math test and subjects [[Special:Contributions/105.112.70.71|105.112.70.71]] ([[User talk:105.112.70.71|talk]]) 16:05, 20 March 2022 (UTC)
== The triangle came from Persia and it continued by the Greeks ==
Is it outside of logic?
Given 2 angles find the third one:
== A triangle ==
<math>sinBcosC+sinCcosB=sinA</math>
<math>sinBsinC-cosCcosB=cosA</math>
<math>sinAcosC+sinCcosA=sinB</math>
<math>sinAsinC-cosCcosA=cosB</math>
<math>sinAcosB+sinBcosA=sinC</math>
<math>sinAsinB-cosAcosB=cosC</math>
Length of the sides of the triangles:
<math>b\times cosC+c\times cosB=a</math>
<math>a\times cosC+c\times cosA=b</math>
<math>a\times cosB+b\times cosA=c</math>
For example:
<math>\sqrt 0.7\times\sqrt 0.16+\sqrt 0.84\times\sqrt 0.3=\sqrt 0.7</math>
<math>\sqrt 0.7\times\sqrt 0.84-\sqrt 0.16\times\sqrt 0.3=\sqrt 0.3</math>
<math>\sqrt 0.7\times\sqrt 0.16+\sqrt 0.84\times\sqrt 0.3=\sqrt 0.7</math>
<math>\sqrt 0.7\times\sqrt 0.84-\sqrt 0.16\times\sqrt 0.3=\sqrt 0.3</math>
<math>\sqrt 0.7\times\sqrt 0.3+\sqrt 0.7\times\sqrt 0.3=\sqrt 0.84</math>
<math>\sqrt 0.7\times\sqrt 0.7-\sqrt0.3\times\sqrt 0.3=\sqrt 0.16</math>
<math>0.3+0.7+0.3+0.7+0.84+0.16=3</math>
<math>sinA^2+sinB^2+sinC^2+cosA^2+cosB^2+cosC^=3</math>
In base ten
<math>\sqrt 7\times\sqrt 16+\sqrt 84\times\sqrt 3=\sqrt 700</math>
<math>\sqrt 7\times\sqrt 84-\sqrt 16\times\sqrt 3=\sqrt 300</math>
<math>\sqrt 7\times\sqrt 16+\sqrt 84\times\sqrt 3=\sqrt 700</math>
<math>\sqrt 7\times\sqrt 84-\sqrt 16\times\sqrt 3=\sqrt 300</math>
<math>\sqrt 7\times\sqrt 3+\sqrt 7\times\sqrt 3=\sqrt 84</math>
<math>\sqrt 7\times\sqrt 7-\sqrt 3\times\sqrt 3=\sqrt 16</math>
<math>700+300+700+300+84+16=2100 </math>
== 616, 888 and 666 and the number of a man ==
Triangular numbers and the sum of three arcs.
<math>7\times 3=21;7+3=10;21-10=11 ;21\times 4=84</math>
<math>8\times 2=16;8+2=10; 16-10=6</math>
<math>11+6=17; 11\times 6=66</math>
<math>17\times 4=68 ;84-16=68</math>
<math>3+3+3+3+2=14</math>
<math>7+7+7+7+8=36</math>
<math>36-14=22; 666-105=561</math>
<math>36-33=3 ; 33-14=19 ;19+3=22</math>
<math>17\times 33=561</math>
<math>0.84+0.84+0.5376+0.16+0.16+0.4624=3</math>
<math>7-3=4 ; 7-3=4 ; 84-16=68</math>
<math>84-16=68 ; 84-16=68</math>
<math>5376-4624=752</math>
<math>752+68+68=888</math>
<math>752-68-68=616</math>
== trigonometry ==
There are 5 ways to add two numbers where their sums equal to 10:
If the sum of a and b are equal to 10 per example:
<math>1+9=10</math>
<math>2+8=10</math>
<math>3+7=10</math>
<math>4+6=10</math>
<math>5+5=10</math>
Equations for a and b if base =10
If a=10 and b=10 then:
<math>a\times b=ab</math>
<math>a\times b\times b=ab^2</math>
<math>a\times a\times b=ba^2</math>
<math>a\times b+a\times b^2+b\times a^2=a\times b(1+a+b)</math>
<math>a+b=a+b</math>
<math>a+a+b=2a+b</math>
<math>a+b+b=a+2b</math>
<math>4(a+b)=4a+4b</math>
<math>10\times 10\times 10=1000</math>
<math>10\times 10\times 10=1000</math>
<math>10\times 10=100</math>
<math>1000+1000+100=2100</math>
<math>10+10=20</math>
<math>10+10+10=30</math>
<math>10+10+10=30</math>
<math>20+30+30=80</math>
What is the answer if a and b are equal to 1?
<math>a+b=a+b</math>
<math>a+a+b=2a+b</math>
<math>a+b+b=a+2b</math>
<math>4(a+b)=4a+4b</math>
<math>a+b+2a+b+a+2b=4(a+b)=4a+4b</math>
<math>a\times b=ab</math>
<math>a\times b\times b=ab^2</math>
<math>a\times a\times b=ba^2</math>
<math>a\times b+a\times b^2+b\times a^2=a\times b(1+a+b)</math>
<math>2\times 4=8 </math>
<math>(2+1)\times 1\times 1=3</math>
<math>1+1=2</math>
<math>1+1+1=3</math>
<math>1+1+1=3</math>
Triangular odd index numbers:
Matrix
<math>1=1</math>
5
<math>1+2+3=6</math>
9
<math>1+2+3+4+5=15</math>
13
<math>1+2+3+4+5+6+7=28</math>
17
<math>1+2+3+4+5+6+7+8+9=45</math>
21
<math>1+2+3+4+5+6+7+8+9+10+11=66</math>
<math>5;9;13</math>
<math>17;21;25</math>
<math>29;33;37</math>
<math>41;45;49</math>
<math>53;57;61</math>
<math> 5+57=62;9+57=66;13+57=70</math>
<math>17+45=62;21+45=66;21+49=70</math>
<math>29+33=62;33+33=66;33+37=70</math>
<math>a+b=17; a+b=18; a+b=19</math>
<math>(4a-3)+(4b-3)=4(a+b)-6</math>
== from the book of revelation ==
<math>7+10=17</math>
<math>7+10+7=24</math>
<math>7+10+10=27</math>
<math>17+24+27=68</math>
<math>7\times 10=70</math>
<math>7\times 10\times 7=490</math>
<math>7\times 10\times 10=700</math>
<math>70+490+700=1260</math> [[Special:Contributions/199.119.233.208|199.119.233.208]] ([[User talk:199.119.233.208|talk]]) 20:13, 24 January 2023 (UTC)
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