Question

Calcular o ângulo agudo formado pelas retas:
a)r: y-3x+1 e s: y=-2x-1

b)r: y=2x e s: y=-x+6

Answer 1

a) mr = 3  e ms = -2

m = tgΘ

m = | mr - ms / 1 + mr * ms |
m = | 3 - (-2) / 1 + (3) * (-2) |
m = | 3 + 2 / 1 + (-6) |
m = | 5 / -5 |
m = | -1 |
m = 1

tg 1 = 45º.

b) mr = 2   e  ms = -1

m = | mr - ms / 1 + mr * ms |
m = | 2 - (-1) / 1 + 2 * (-1) |
m = | 2 + 1 / 1 - 2 |
m = | 3 / -1 |
m = | -3 |
m = 3

tg 3 = 72º.