Question

Oblicz wartości pozostałych funkcji trygonometrycznych kąta ostrego {alfa} jesli tg {alfa} = 2,4

Answer 1

tg = 2,4 = 12/5

ctg = 1/tg = 1 : 12/5 | *5

ctg = 5/12

 

tg = sin/ cos= 12/5

5 sin = 12 cos / :5

sin = 12/5

 

(12/5)^2 + cos^2 = 1

144/25 + cos^2 = 1

169/25 cos^2 = 1

cos^2 = 25/169 

cos = 5/13

Answer 2

2,4=12/5

1/tg=1;12/5*5

5/12

tg=sin/cos=12/5

5 sin=12 cos/;5sin=12/5

12/5 2 = cos 2 =1

144/25 = cos 2=1

169/25 cos 2=1

cos 2=25/169

cos=5/13