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Trigonometric Function Graphs

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Starts at its maximum value, then smoothly decreases to its minimum and repeats periodically.

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Cosine

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This graph looks like a series of upward and downward spikes, repeating every π\pi units.

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Tangent

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Starts at 1, dips down to approach 0 without reaching it, and repeats the pattern every 2π2\pi units.

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Secant

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The graph starts at 1, gradually ascends towards positive infinity, then jumps to negative infinity and rises back to 1 over a period of π\pi units.

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Cosecant

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This graph looks like an elongated 'S' that passes through the origin, with horizontal asymptotes at y=1y=1 and y=1y=-1.

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Hyperbolic Sine

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A wave that starts at the origin and continues with a smooth periodic oscillation.

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Sine

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