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Mathematics
Mathematics
Problem
The angle between the lines
x
cos
α
1
+
y
sin
α
1
=
p
1
x \cos \alpha_1 + y \sin \alpha_1 = p_1
x
cos
α
1
+
y
sin
α
1
=
p
1
and
x
cos
α
2
+
y
sin
α
2
=
p
2
x \cos \alpha_2 + y \sin \alpha_2 = p_2
x
cos
α
2
+
y
sin
α
2
=
p
2
is- (1)
(
α
1
+
α
2
)
(\alpha_1 + \alpha_2)
(
α
1
+
α
2
)
(3)
2
α
2
2\alpha_2
2
α
2
(2)
∣
α
1
−
α
2
∣
|\alpha_1 - \alpha_2|
∣
α
1
−
α
2
∣
(4)
2
α
1
2\alpha_1
2
α
1
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