Defining Circular Functions: Sine, Cosine, and Tangent (VCE SSCE Mathematical Methods): Flashcards

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Defining Circular Functions: Sine, Cosine, and Tangent
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Radius of the unit circle

1

Coordinates of P(θ)P(\theta) on unit circle

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

Period of sine and cosine

2π2\pi

Formula for tan⁡θ\tan \theta

sin⁡θcos⁡θ\frac{\sin \theta}{\cos \theta}

When is tan⁡θ\tan \theta undefined?

When cos⁡θ=0\cos \theta = 0

Period of tangent

π\pi

Value of sin⁡30°\sin 30°

12\frac{1}{2}

Value of cos⁡45°\cos 45°

12\frac{1}{\sqrt{2}}

sin⁡(−θ)\sin(-\theta) equals

−sin⁡θ-\sin \theta

cos⁡(−θ)\cos(-\theta) equals

cos⁡θ\cos \theta

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