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Trigonometry (Metric)

Class Details

Tom Baker

Learn, or revise, trigonometrical functions (and their reciprocals and inverses) and trigonometrical identities.

Trigonometrical Functions

The functions \(\sin x\), \(\cos x\) and \(\tan x\), and their reciprocals and inverses.

The natural measure of angle, and its relationship with the traditional one.

Lesson Not yet graded

Using trig functions to calculate the areas of shapes in the plane.

Lesson

Trig functions evaluated at \(0\), \(\pi/6\), \(\pi/3\), \(\pi/3\) and \(\pi/2\), and their obtuse and reflex counterparts.

Lesson

Values of \(x\) on which the trig functions are defined, and values of \(y\) they attain; periodicity I their graphs.

Lesson

Identities

Relations among trig functions.

The relation \(\cos^2\,x+\sin^2\,x\equiv 1\), and its counterparts.

Lesson

Identities for sine, cosine and tangent of \((x+y)\).

Lesson Not yet graded

Identities for sine, cosine and tangent of \((2\,x)\).

Lesson Not yet graded

Inverting the trig functions; restricting the domain.

Lesson
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