OpenRevise GCSE

Maths · Topic 2: Year 11

More trigonometry

Bounds and accuracy, the graphs of sine, cosine and tangent, the sine and cosine rules, area of a triangle, trigonometry in 3D, and transformations of trigonometric graphs.

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Key terms in this chapter

All 54, gathered from every lesson.

Lower bound
The smallest value that rounds to the given number.
Upper bound
The value at the top of the range; not itself included.
Error interval
The range of possible values written with inequalities.
Degree of accuracy
How precisely a value is given, e.g. 1 d.p. or 2 s.f.
Truncate
Cut off digits without rounding.
Significant figures
Digits that carry meaning, counting from the first non-zero digit.
Period
The length after which the graph repeats.
Amplitude
The height from the middle line to the maximum.
Maximum
The highest value on the graph.
Minimum
The lowest value on the graph.
Inverse sine
\(\sin^{-1}\), the calculator function that finds an angle.
Symmetry
The graph looks the same on both sides of a line.
Cosine graph
The wave \(y = \cos x\).
Period
\(360^\circ\) for both sine and cosine.
Inverse cosine
\(\cos^{-1}\), the calculator function that finds an angle.
Translation
Sliding a graph without turning it.
Symmetry
The graph mirrors itself about a line.
Solution
A value of \(x\) that gives the required \(y\).
Asymptote
A line that a graph gets closer to but never touches.
Period
The length after which the graph repeats.
Undefined
Has no value, e.g. \(\tan 90^\circ\).
Inverse tangent
\(\tan^{-1}\), the calculator function that finds an angle.
Root
A value of \(x\) where \(y = 0\).
Range
The set of values \(y\) can take.
Sine rule
\(\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}\).
Opposite
Across the triangle from an angle, not touching it.
Included angle
The angle between two given sides.
Scalene
A triangle with no equal sides.
Vertex
A corner of a shape.
Non-right-angled
A triangle with no \(90^\circ\) angle.
Cosine rule
\(a^2 = b^2 + c^2 - 2bc\cos A\).
Bearing
A direction measured clockwise from north as three figures.
Included angle
The angle between two given sides.
Obtuse
An angle between \(90^\circ\) and \(180^\circ\).
Largest angle
The angle opposite the longest side.
Rearrange
Change the subject of a formula.
Cuboid
A 3D shape with six rectangular faces.
Space diagonal
A diagonal joining opposite corners through the inside of a cuboid.
Plane
A flat surface, such as the base.
Apex
The top point of a pyramid.
Slant edge
An edge from the apex to a base corner.
Angle of elevation
The angle looking up from horizontal.
Amplitude
The height of the wave from the middle line to a maximum.
Stretch
A change that makes a graph taller or wider.
Translation
A slide without turning or flipping.
Reflection
A flip in a line such as the x-axis.
Middle line
The horizontal line halfway between maximum and minimum.
Scale factor
The number you multiply by.
Period
The length after which the graph repeats.
Horizontal stretch
A stretch that changes the x-values.
Translation
A slide left, right, up or down.
Scale factor
The number the x-values are multiplied by.
Full wave
One complete cycle of the graph.
Phase shift
A horizontal translation of a trig graph.