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

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Trigonometric functions for angles of any size
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In which direction from the positive x-axis are positive angles measured?

Anticlockwise

What is the starting point for measuring angles in mathematical convention?

The positive x-axis

Which measurement system is the exception to anticlockwise being positive?

Compass bearings

What is the radius of the unit circle used to define trigonometric functions?

1

For point P(x,y)P(x, y) on the unit circle, what does sin⁡θ\sin \theta equal?

yy

For point P(x,y)P(x, y) on the unit circle, what does cos⁡θ\cos \theta equal?

xx

For point P(x,y)P(x, y) on the unit circle, what does tan⁡θ\tan \theta equal?

yx\frac{y}{x}

What defines an angle in 'standard position'?

Vertex at origin, initial side on positive x-axis

For which angle range do unit circle trigonometric definitions work?

Any angle size

What happens to right-triangle trigonometry for obtuse angles?

It breaks down

What calculator setting should you check when solving trigonometric problems?

Degree or radian mode

Can trigonometric functions have negative values for certain angle ranges?

Yes, they can

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