Trigonometric functions for angles of any size (AQA GCSE Further Maths): Flashcards

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Trigonometric functions for angles of any size
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Starting point for measuring angles in maths

Positive x-axis

Direction of rotation for positive angles

Anticlockwise from positive x-axis

Direction of rotation for negative angles

Clockwise from positive x-axis

How compass bearings are measured (exception)

Clockwise from north

Definition of unit circle

Circle with radius 1 centered at origin

On unit circle, sin⁡θ\sin \theta equals

yy (y-coordinate of point P)

On unit circle, cos⁡θ\cos \theta equals

xx (x-coordinate of point P)

On unit circle, tan⁡θ\tan \theta equals

yx\frac{y}{x} (ratio of y to x coordinate)

What is standard position for an angle?

Vertex at origin, initial side along positive x-axis

Range of angles unit circle definitions work for

Any angle size

Can trig functions have negative values?

Yes, for certain angle ranges

Important calculator check for trig problems

Check if in degree or radian mode

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