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NÅGRA KOMMENTARARER TILL LÖSNINGARNA

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1129c<br />

cos64<br />

<br />

x<br />

=<br />

97<br />

( mult 97)<br />

<br />

97 ⋅ cos64 = 97 ⋅<br />

<br />

97cos64 = x<br />

<br />

x = 97cos64<br />

97cos(64)<br />

x = 43 cm<br />

x<br />

97<br />

1131a<br />

234<br />

cos38,7 = ( mult x)<br />

x<br />

234<br />

x⋅ cos38,7 = x ⋅<br />

x<br />

xcos38,7<br />

= 234 div<br />

<br />

( cos 38, 7 )<br />

<br />

x cos38,7<br />

cos38,7 <br />

234<br />

=<br />

<br />

cos38,7<br />

234<br />

x =<br />

<br />

cos38,7<br />

234 cos(38.7)<br />

x = 300 cm<br />

1138a<br />

17<br />

sin v =<br />

36<br />

−1<br />

⎛17 ⎞<br />

v = sin ⎜ ⎟<br />

⎝36 ⎠<br />

−1<br />

sin (17 36)<br />

v = 28<br />

<br />

1129d<br />

sin 49<br />

LÖSNINGAR DEL B<br />

<br />

x<br />

=<br />

67<br />

( mult 67)<br />

<br />

67 ⋅ sin 49 = 67 ⋅<br />

<br />

68sin 49 = x<br />

<br />

x = 68sin 49<br />

68sin(49)<br />

x = 51 cm<br />

1138b<br />

31<br />

cosv<br />

=<br />

52<br />

−1<br />

⎛31⎞ v = cos ⎜ ⎟<br />

⎝52 ⎠<br />

−1<br />

cos (31 52)<br />

v = 53<br />

<br />

x<br />

67<br />

1130a<br />

sin55<br />

<br />

x<br />

=<br />

72<br />

( mult 72)<br />

<br />

72⋅ sin55 = 72 ⋅<br />

<br />

72sin55 = x<br />

<br />

x = 72sin55<br />

72sin(55)<br />

x = 59 cm<br />

x<br />

72<br />

1131b<br />

15,1<br />

cos76,5 = ( mult x)<br />

x<br />

15,1<br />

x⋅ cos76,5 = x ⋅<br />

x<br />

xcos76,5<br />

= 15,1 div<br />

<br />

( cos 76, 5 )<br />

<br />

x cos76,5<br />

cos76,5 <br />

15,1<br />

=<br />

<br />

cos76,5<br />

15,1<br />

x =<br />

<br />

cos76,5<br />

15,1 cos(76.5)<br />

x = 64,7 cm<br />

1139a<br />

52<br />

sin v =<br />

65<br />

−1<br />

⎛52 ⎞<br />

v = sin ⎜ ⎟<br />

⎝65 ⎠<br />

−1<br />

sin (52 65)<br />

v = 53<br />

<br />

(tan eller cos går också bra)<br />

1130b<br />

x<br />

cos71 =<br />

39<br />

( mult 39)<br />

<br />

39⋅ cos71 = 39 ⋅<br />

<br />

39cos71 = x<br />

<br />

x = 39cos71<br />

39cos71<br />

x = 13 cm<br />

1139b<br />

51<br />

sin v =<br />

85<br />

−1<br />

⎛51⎞ v = sin ⎜ ⎟<br />

⎝85 ⎠<br />

−1<br />

sin (51 85)<br />

v = 37<br />

<br />

<br />

x<br />

39<br />

(tan eller cos går också bra)<br />

4

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