Trigonometry Advanced Quiz 1
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Advanced Quiz 1
1. What is the Law of Sines formula for triangle ABC?
a
sinA
=
b
sinB
=
c
sinC
a
2
=
b
2
+
c
2
-
2
b
c
cos
A
sinA
+
sinB
+
sinC
=
180
°
2. What is the Law of Cosines formula for side a?
a
2
=
b
2
+
c
2
-
2
b
c
cos
A
a
sinA
=
b
sinB
=
c
sinC
a
=
b
+
c
3. What is the double-angle identity for sine?
sin
(
2
x
)
=
2
sin
(
x
)
cos
(
x
)
sin
(
2
x
)
=
sin
2
(
x
)
-
cos
2
(
x
)
sin
(
2
x
)
=
2
tan
(
x
)
1
+
tan
2
(
x
)
4. What is the double-angle identity for cosine?
cos
(
2
x
)
=
cos
2
(
x
)
-
sin
2
(
x
)
cos
(
2
x
)
=
2
sin
(
x
)
cos
(
x
)
cos
(
2
x
)
=
1
-
2
sin
2
(
x
)
5. What is the sum formula for sine?
sin
(
A
+
B
)
=
sin
A
cos
B
+
cos
A
sin
B
sin
(
A
+
B
)
=
sin
A
sin
B
+
cos
A
cos
B
sin
(
A
+
B
)
=
sin
A
+
sin
B
6. What is the sum formula for cosine?
cos
(
A
+
B
)
=
cos
A
cos
B
-
sin
A
sin
B
cos
(
A
+
B
)
=
cos
A
sin
B
+
sin
A
cos
B
cos
(
A
+
B
)
=
cos
A
+
cos
B
7. What is the Pythagorean identity for tangent and secant?
1
+
tan
2
(
x
)
=
sec
2
(
x
)
1
+
cot
2
(
x
)
=
csc
2
(
x
)
tan
2
(
x
)
+
sec
2
(
x
)
=
1
8. What is the Pythagorean identity for cotangent and cosecant?
1
+
cot
2
(
x
)
=
csc
2
(
x
)
1
+
tan
2
(
x
)
=
sec
2
(
x
)
cot
2
(
x
)
+
csc
2
(
x
)
=
1
9. What is the inverse sine function also called?
Arcsin
Arccos
Arctan
10. What is the inverse tangent function also called?
Arctan
Arcsin
Arccos
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