IB DP Maths: AI HL复习笔记3.4.2 Simple Identities
Simple Identities What is a trigonometric identity? They are used to help simplify trigonometric equations before solving them Sometimes you may see identities written with the symbol?≡ This means ...
IB DP Maths: AI 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: AI 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: AI HL复习笔记3.3.2 Non Right-Angled Trigonometry
Sine Rule 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 s...
IB DP Maths: AI HL复习笔记3.3.1 Pythagoras & Right-Angled Triganometry
Pythagoras 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...
IB DP Maths: AI HL复习笔记3.2.2 Volume & Surface Area
Volume of 3D Shapes 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 ...
IB DP Maths: AI HL复习笔记3.2.1 3D Coordinate Geometry
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...
IB DP Maths: AI HL复习笔记3.1.3 Arcs & Sectors
Length of an Arc 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 t...
IB DP Maths: AI HL复习笔记3.1.2 Radian Measure
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 ci...
