Question

Determine o ângulo formado entre as retas r:x-y=0 e s:3x+4y -12=0

Answer 1

Boa tarde.

botando na forma reduzida.

r: y = x

S: 4y = 12-3x.
y = 12/4 - 3x/4
y = 3 - 3x/4


Aplicando na formula.

tgx = | mr-ms| / |1- Mr.ms|

tgx = |1-3/4| / | 1 - 1*3/4|

tgx = (1/4) / (3/4)

tgx = 1/4 × 4/3

tgx = 1/3

x = arctg 1/3