The Unit Circle (Leaving Cert Mathematics): Flashcards

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The Unit Circle
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Radius of the unit circle

11 unit

Centre of the unit circle

Origin (0,0)(0, 0)

General coordinates on unit circle for angle θ\theta

(cos⁡θ,sin⁡θ)(\cos \theta, \sin \theta)

xx-coordinate on unit circle represents

cos⁡θ\cos \theta

yy-coordinate on unit circle represents

sin⁡θ\sin \theta

Direction of positive angles on unit circle

Counterclockwise

90°90° in radians

π2\frac{\pi}{2}

180°180° in radians

π\pi

Signs of sin⁡θ\sin \theta and cos⁡θ\cos \theta in Quadrant I

Both positive

Signs of sin⁡θ\sin \theta and cos⁡θ\cos \theta in Quadrant III

Both negative

Coordinates at 0°0° on unit circle

(1,0)(1, 0)

Coordinates at 90°90° on unit circle

(0,1)(0, 1)

Coordinates at 180°180° on unit circle

(−1,0)(-1, 0)

sin⁡(−θ)\sin(-\theta) in terms of sin⁡(θ)\sin(\theta)

−sin⁡(θ)-\sin(\theta)

cos⁡(−θ)\cos(-\theta) in terms of cos⁡(θ)\cos(\theta)

cos⁡(θ)\cos(\theta)

Explore Leaving Cert Mathematics Revision Notes by Topics

The Basics

Special Angles & The Unit Circle

Radians & Sectors

Periodic Functions

Solving Trig Equations

Trig Identities

Explore Leaving Cert Mathematics Model Answers by Topics

The Basics

Special Angles & The Unit Circle

Radians & Sectors

Periodic Functions

Solving Trig Equations

Trig Identities

Explore Leaving Cert Mathematics Quizzes by Topics

The Basics

Special Angles & The Unit Circle

Radians & Sectors

Periodic Functions

Solving Trig Equations

Trig Identities

Explore Leaving Cert Mathematics Exam Questions by Topics

The Basics

Special Angles & The Unit Circle

Radians & Sectors

Periodic Functions

Solving Trig Equations

Trig Identities

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