All Circles Are Similar
Precalculus · Flashcards · Application
PRECALCULUS · FLASHCARDS
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QUESTION
Use the Law of Sines: if
a
=
10
a=10
a
=
10
,
A
=
30
∘
A=30^\circ
A
=
3
0
∘
, and
B
=
60
∘
B=60^\circ
B
=
6
0
∘
, what is
b
b
b
?
QUESTION
Find
A
A
A
if
sin
A
=
1
2
\sin A=\frac{1}{2}
sin
A
=
2
1
and
A
A
A
is acute.
QUESTION
Use the Law of Cosines: find
c
c
c
if
a
=
5
a=5
a
=
5
,
b
=
5
b=5
b
=
5
, and included angle
C
=
60
∘
C=60^\circ
C
=
6
0
∘
.
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ANSWER
c
=
5
2
+
5
2
−
2
⋅
5
⋅
5
cos
60
∘
=
5
c=\sqrt{5^2+5^2-2\cdot^5\cdot^5\cos 60^\circ}=5
c
=
5
2
+
5
2
−
2
⋅
5
⋅
5
cos
6
0
∘
=
5
. Isosceles with
60
°
60°
60°
angle forms equilateral triangle.
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