Special Angles & The Unit Circle (Leaving Cert Mathematics): Flashcards

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Special Angles
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Special angles in trigonometry

30circ30^circ, 45circ45^circ, and 60circ60^circ

Value of sin⁡30∘\sin 30^\circ

12\frac{1}{2}

Value of cos⁡30∘\cos 30^\circ

32\frac{\sqrt{3}}{2}

Value of tan⁡30∘\tan 30^\circ

13\frac{1}{\sqrt{3}}

Value of sin⁡45∘\sin 45^\circ

22\frac{\sqrt{2}}{2}

Value of cos⁡45∘\cos 45^\circ

22\frac{\sqrt{2}}{2}

Value of tan⁡45∘\tan 45^\circ

11

Value of sin⁡60∘\sin 60^\circ

32\frac{\sqrt{3}}{2}

Value of cos⁡60∘\cos 60^\circ

12\frac{1}{2}

Value of tan⁡60∘\tan 60^\circ

3\sqrt{3}

Radius of the unit circle

11

What the xx-coordinate represents on unit circle

cos⁡θ\cos \theta

What the yy-coordinate represents on unit circle

sin⁡θ\sin \theta

Coordinates on unit circle at θ=30∘\theta = 30^\circ

(32,12)\left( \frac{\sqrt{3}}{2}, \frac{1}{2} \right)

Explore Leaving Cert Mathematics Revision Notes by Topics

The Basics

Special Angles & The Unit Circle

Radians & Sectors

Periodic Functions

Solving Trig Equations

Trig Identities

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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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