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Mentoring Program Curriculum (1)
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Maths AA
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3. Geometry and Trigonometry
Mentoring Program Curriculum (1)
/
Subjects
/
Maths AA
/
Topics
/
3. Geometry and Trigonometry
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3. Geometry and Trigonometry
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Midpoint and distance:
To find the midpoint of two points
(
x
1
,
y
1
,
z
1
)
(x_1,y_1,z_1)
(
x
1
,
y
1
,
z
1
)
and
(
x
2
,
y
2
,
z
2
)
(x_2,y_2,z_2)
(
x
2
,
y
2
,
z
2
)
in three-dimensional space:
(
x
1
+
x
2
2
,
y
1
+
y
2
2
,
z
1
+
z
2
2
)
(\frac{x_1+x_2}2,\frac {y_1+y_2}2,\frac {z_1+z_2}2)
(
2
x
1
+
x
2
,
2
y
1
+
y
2
,
2
z
1
+
z
2
)
The distance
d
between two points
(
x
1
,
y
1
,
z
1
)
(x_1,y_1,z_ 1)
(
x
1
,
y
1
,
z
1
)
and
(
x
2
,
y
2
,
z
2
)
(x_2,y_2,z_2)
(
x
2
,
y
2
,
z
2
)
in three-dimensional space:
d
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
+
(
z
2
−
z
1
)
2
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}
d
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
+
(
z
2
−
z
1
)
2
3.1 Geometry
3.2 Trigonometry
Trigonometric functions are type of
periodic
functions where
f
(
x
+
T
)
=
f
(
x
)
f(x+T) = f(x)
f
(
x
+
T
)
=
f
(
x
)
for certain
T
T
T
.
There are three types of trigonometric functions you need to know:
sin
x
,
cos
x
,
tan
x
\sin x,\cos x,\tan x
sin
x
,
cos
x
,
tan
x
.
3.3 Trig. Functions and Identities
3.4 Vectors (HL)
