Opgave 1
tan30°=x40
? 40*tan30°= x
x=23,1
|AF| x 40X2+402=|AF|2AF=x2+402
|AB| =|AC|
?|AC|=|AF| +|FC|
|FC| =|AC|-|AF|
=80 -|AF||AF|=46,2
80-46,2=|FC|33,8=|FC|
Cirkelbue formlen b=2*?*r*v/360°’
|BA|=?*40*22
|BA|= 125,7
|BC|=2*?*80*30360
|BC|=41,9
|CD|= 2*?*33,8*120/360
|CD|=70,8
|DA|=2*?*80*30/360|DA|=41,9
|AA|=41,9+41,9+125,7+70,8 |AA|=280,3
Opgave 2
A)
?a =32 ?b =-2-4 ?c =t2-3t
?r =32+-2-4
?r =1-2
b)
?s=32- -2-4
?s =56
C)
cos-1x1?x2+y1?y2x12+y12?x22+y22=v
cos-11?5+-2?612+-22?52+62=113,63°
solvecos-1x1?x2+y1?y2x12+y12?x22+y22=90°.
solvecos-11?t2-3+-2?t12+-22?t2-32+t2=90°,tt=-1 eller t=3
c=-12-3-1?c=-2-1
c=32-33?c=63
Opgave 3
solve2?coscx+1=1,5,xx=6,28?±1,32
y1=6,28?0+1,32y1=1,32
y2=6,28?1-1,32y2=4,96
x1;y1=1,32;1,32
x2;y2=1,32;4,96
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