Kapittel 1 Algebra
Kapittel 1 Algebra
Kapittel 1 Algebra
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<strong>Kapittel</strong> 2<br />
Trigonometri<br />
2.1 Vinkelmål<br />
a) v = 2π<br />
b) v = π/5<br />
c) v = π<br />
d) v = π/10<br />
e) v = π/20<br />
i) v = 90 ◦<br />
f) v = π/2<br />
j) v = 180 ◦<br />
g) v = 45 ◦<br />
h) v = 60 ◦<br />
2.2 Trekantar<br />
a) Arealet: 24 cm 2 ; AD = 7, 6 cm, BD = 3, 7 cm.<br />
b) i) 78 cm 2 ii) 53 cm 2<br />
c) ∠P = 30, 3 ◦<br />
d) ∠B = 39, 6 ◦ , ∠C = 78, 4 ◦ , arealet er 28,7 cm 2<br />
e) ∠B = 22, 1 ◦ , ∠C = 32, 9 ◦ , arealet er 1 2<br />
AC · BC · sin C = 287, 2 cm2<br />
( AC<br />
f) BC = 7, 2, ∠B = cos −1 2 − BC 2 − AB 2 )<br />
= 73, 9 ◦ , ∠C = 46, 1 ◦ .<br />
−2 · BC · AB<br />
g) For a = 5, 3 og a > 7, 7 er det berre råd å lage ein trekant; for 5, 3 < a < 7, 7 kan du lage to.<br />
For a = 5, 3 får vi ein rettvinkla trekant.<br />
2.3 Likningar – del 1<br />
a) x = 60 ◦ , x = 300 ◦<br />
f) x = 14, 5 ◦ , x = 165, 5 ◦<br />
e) x = 79, 7 ◦ , x = 259, 7 ◦ i) x = 60 ◦ , x = 300 ◦<br />
b) x = 36, 9 ◦ , x = 322, 1 ◦<br />
g) x = 65, 4 ◦ , x = 294, 6 ◦<br />
c) x = 17, 5 ◦ , x = 162, 5 ◦<br />
d) x = 203, 6 ◦ , x = 336, 4 ◦<br />
h) x = 83, 7 ◦ , x = 263, 7 ◦<br />
5
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