Matematikkens mysterier 2. Trigonometri - KennethHansen.net
Matematikkens mysterier 2. Trigonometri - KennethHansen.net
Matematikkens mysterier 2. Trigonometri - KennethHansen.net
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A<br />
⇓.<br />
⇓<br />
c<br />
b<br />
2 2 2<br />
a + b = c<br />
2 2<br />
b = c − a<br />
2 2<br />
En retvinklet trekant med<br />
a = 7 c = 9<br />
De manglende stykker findes ved brug af<br />
trigonometrien og Pythagoras<br />
b = 9 − 7 = 81− 49 = 32 ≈ 5, 657<br />
a<br />
sin( A)<br />
=<br />
c<br />
a<br />
cos( B)<br />
=<br />
c<br />
⇓. ⇓.<br />
a<br />
A = arcsin( )<br />
c<br />
a<br />
B = arccos( )<br />
c<br />
⇓ ⇓<br />
7<br />
A = arcsin( ) ≈ 51, 06 °<br />
9<br />
7<br />
B = arccos( ) ≈ 38, 94 °<br />
9<br />
På lommeregneren:<br />
TI-30X<br />
C<br />
B<br />
a<br />
b: 9 x 2 − 7 x 2 = x<br />
A: 7 ÷ 9 = 2nd sin =<br />
B: 7 ÷ 9 = 2nd cos =<br />
28
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