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Mathematics
Mathematics
Problem
If
sin
(
A
+
B
)
=
1
\sin(A + B) = 1
sin
(
A
+
B
)
=
1
and
cos
(
A
−
B
)
=
3
/
2
\cos(A - B) = \sqrt{3}/2
cos
(
A
−
B
)
=
3
/2
,
0
∘
<
A
+
B
≤
90
∘
0^\circ < A + B \le 90^\circ
0
∘
<
A
+
B
≤
9
0
∘
and
A
>
B
A > B
A
>
B
, then find the measures of angles A and B.
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