23 Maths -- Curve Sketching

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Trigonometric Function and their Graphs

1. 'Sine' function
→The curve of sine function passes through origin.
→This function makes a sinusoidal wave in the graph. So, it is a sinusoidal wave passing through center in the graph.
→The wave is continuous.
→The value of sin(x) is given by the interval [-1, 1]. So, the wave doesn't exceed 1 unit both above and below the x-axis.(When x axis represents angle and y -axis represents )
Graph


2. 'Cosine' function
→The curve of cosine function doesn't pass through origin.
→This function makes a sinusoidal wave in the graph. So, it is a sinusoidal wave which doesn't pass through center in the graph.
→The wave is continuous.
→The value of cos(x) ranges is given by interval [-1, 1]. So, the wave doesn't exceed 1 unit both above and below the x-axis.(When x axis represents angle and y -axis represents )
Graph


3. 'Tangent' function
→The curve of cosine function doesn't pass through origin.
→The wave is discontinuous as it breaks after certain units as shown in graph below.

Graph








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