IB DP Maths: AA SL復習筆記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 SL復習筆記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 SL復習筆記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 SL復習筆記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: AA SL復習筆記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: AA SL復習筆記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: AA SL復習筆記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: AA SL復習筆記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: AA SL復習筆記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...
