Question

Trygonometria - zadania w załącznikach.

Answer 1

1.

a. sin α = m/s
cos α = k/s
tg α = m/k
ctg α = k/m
sin β = k/s
cos β = m/s
tg β = k/m
ctg β = m/k

b. sin α = z/x
cos α = b/x
tg α = z/b
ctg α = b/z
sin β = b/x
cos β = z/x
tg β = b/z
ctg β = z/b

c. sin α = g/a
cos α = f/a
tg α = g/f
ctg α = f/g
sin β = f/a
cos β = g/a
tg β = f/g
ctg β = g/f


2.

a. tg 30° = 0,5774
tg 30° = 2/y
2/y = 0,5774
0,5774y = 2
y ≈ 3,46
sin 30° = 0,5
sin 30° = 2/x
2/x = 0,5
0,5x = 2
x = 4

b. sin 60° = 0,866
sin 60° = x/10
x/10 = 0,866
8,66 = x
tg 60° = 1,7321
tg 60° = x/y
tg 60° = 8,66/y
8,66/y = 1,7321
1,7321y = 8,66
y ≈ 5