Odpowiedź:
3. I BC I = 7 + 2 = 9
Obwód L = 5 + 10 + 9 = 24
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4. I ∡ ACBI = 60°
I ∡ ASB I = 2*60° = 120°
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5.
[tex]\frac{x}{5} = \frac{3}{4}[/tex]
4 x = 5*3 = 15 / : 4
x = 3,75
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6. c² = ( √3)² + 4² = 3 + 16 = 19
c = [tex]\sqrt{19}[/tex]
tg [tex]\alpha = \frac{\sqrt{3} }{4}[/tex]
sin α = [tex]\frac{\sqrt{3} }{\sqrt{19} }[/tex]
cos α = [tex]\frac{4}{\sqrt{19} } = \frac{4 \sqrt{19} }{19}[/tex]
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z.7 tg 60° = [tex]\frac{x}{6}[/tex]
x = 6*[tex]\sqrt{3}[/tex]
I AC I = 6[tex]\sqrt{6}[/tex]
I AC I² = 6² + ( 6√3 )² = 36 + 3*36 = 4*36
I AC I = 2*6 = 12
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z.8
[tex]\frac{cos \alpha + 3 sin \alpha }{cos \alpha } - 3 tg \alpha =[/tex] Dzielimy licznik i mianownik przez cos α
= [tex]1 + 3 tg \alpha - 3 tg \alpha = 1[/tex]
Szczegółowe wyjaśnienie:
