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

(cosθ,sinθ)(\cos \theta, \sin \theta)

Period of sine and cosine

2π2\pi

Formula for tanθ\tan \theta

sinθcosθ\frac{\sin \theta}{\cos \theta}

When is tanθ\tan \theta undefined?

When cosθ=0\cos \theta = 0

Period of tangent

π\pi

Value of sin30°\sin 30°

12\frac{1}{2}

Value of cos45°\cos 45°

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

sin(θ)\sin(-\theta) equals

sinθ-\sin \theta

cos(θ)\cos(-\theta) equals

cosθ\cos \theta

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