Trig Identities and Working Core 2

Basic examples and working to aid your understanding towards trigonometric identities :)

The basic understanding should hopefuly give the ability to answer the more challenging questions successfully :)

Hope it helps !

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Core 2 Revision

Trigonometrical identities and simple equations

The two identities that you need to know:

Sin2 x + cos2 x = 1

Tan x = sin x / cos x

These are key to answering any kind of question as they usually involve simplifying
expressions so that they only…

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Quadrants




Rules for using the Cast Diagram

1. Always start at the point labelled `0' above when working out the solution.
2. If the angle is positive (e.g. 30) then go anticlockwise from the start point.
3. If the angle is negative (e.g. -30) then go clockwise from the start…

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Example

Sin x = ½

X = 30 (inverse sin it)

Draw out your cast diagram (look at the diagram above, sin is positive in the first and second
quadrant)




This cast diagram shows all of the possible solutions, however because we know that the
value of the function is…

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