# Trigonometry

This sub-collection of resources from the Virtual Text Book collection contains five resources designed for use on an interactive whiteboard to aid the teaching and learning of a variety of topics in ‘Trigonometry'. Each resource is an interactive Excel worksheet to encourage teacher-student interaction. The topics covered are:

• aSin(x) + bCos(x)
• Modelling: Depth of Water in a Tidal River
• X = Cos, Y = Sin
• Volumes of Revolution

## Resources

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### aSin(x) + bcos(x)

This group of interactive excel worksheets look at the series of identities of the form

aSin(x) ± bCos(x) and aCos(x) ± bSin(x),

where a=RCos(α), b = RSin(α), R=√(a...

### Modelling: Depth of Water in a Tidal River

This excel file looks at using the sine curve to model the water depth in a tidal river.

The first interactive sheet shows how the Earth’s orbit around the Sun can be modelled by the sine curve. One or two cycles can...

This collection of interactive excel sheets look at radians, arc length, sector area, converting to and from degrees, and other related problems.

The first sheet displays a sector of a circle and corresponding...

### Trigonometry: X=cosθ,Y=sinθ

This collection of interactive excel sheets looks at a circle of radius 1 and the corresponding values generated for cosθ and sinθ.

The first interactive sheet illustrates that for the unit circle, X = cosθ and Y =...