IB DP Maths: AA HL复习笔记3.4.2 Exact Values
Trigonometry Exact Values What are exact values in trigonometry? For certain angles the values of sin θ, cos θ and tan θ can be written exactly This means using fractions and surds You should be fa...
IB DP Maths: AA HL复习笔记3.4.1 The Unit Circle
Defining Sin, Cos and Tan What is the unit circle? The unit circle is a circle with radius 1 and centre (0, 0) Angles are always measured from the positive x-axis and turn: anticlockwise for positi...
IB DP Maths: AA HL复习笔记3.3.3 Applications of Trigonometry & Pythagoras
Bearings What are bearings? Bearings are a way of describing and using directions as angles They are specifically defined for use in navigation because they give a precise location and/or direction...
IB DP Maths: AA HL复习笔记3.3.2 Non Right-Angled Trigonometry
What is the sine rule? The sine rule allows us to find missing side lengths or angles in non-right-angled triangles It states that for any triangle with angles A, B and C Where a is the side opposi...
IB DP Maths: AA HL复习笔记3.3.1 Pythagoras & Right-Angled Triganometry
What is the Pythagorean theorem? Pythagoras’ theorem is a formula that works for right-angled triangles only It states that for any right-angled triangle, the square of the hypotenuse is equal to t...
IB DP Maths: AA HL复习笔记3.2.2 Volume & Surface Area
What is volume? The volume of a 3D shape is a measure of how much 3D space it takes up A 3D shape is also called a solid You need to be able to calculate the volume of a number of common shapes How...
IB DP Maths: AA HL复习笔记3.2.1 3D Coordinate Geometry
How does the 3D coordinate system work? In three-dimensional space we can label where any object is using the x-y-z coordinate system In the 3D cartesian system, the x- and y- axes usually represen...
IB DP Maths: AA HL复习笔记3.1.3 Arcs & Sectors
What is an arc? An arc is a part of the circumference of a circle It is easiest to think of it as the crust of a single slice of pizza The length of an arc depends of the size of the angle at the c...
IB DP Maths: AA HL复习笔记3.1.2 Radian Measure
What are radians? Radians are an alternative to degrees for measuring angles 1 radian is the angle in a sector of radius 1 and arc length 1 A circle with radius 1 is called a unit circle Radians ar...
