Trigonometric Graphs (HSC SSCE Mathematics Advanced): Flashcards

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Trigonometric Graphs
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Definition of one radian

Angle at centre by arc equal in length to radius

π\pi radians in degrees

180°180°

Range of y=sin⁡xy = \sin x

Between −1-1 and 11

Value of cos⁡x\cos x when x=0x = 0

Maximum value of 11

Amplitude of y=asin⁡xy = a\sin x

aa

Period of y=sin⁡xy = \sin x and y=cos⁡xy = \cos x

2π2\pi

Period of y=sin⁡nxy = \sin nx and y=cos⁡nxy = \cos nx

2πn\frac{2\pi}{n}

Period of y=tan⁡nxy = \tan nx

πn\frac{\pi}{n}

Symmetry property of sin⁡x\sin x

Odd function: sin⁡(−x)=−sin⁡x\sin(-x) = -\sin x

Symmetry property of cos⁡x\cos x

Even function: cos⁡(−x)=cos⁡x\cos(-x) = \cos x

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