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Graphs of Sine, Cosine and Tangent

Here are some nice graphs to look at ...

Plot of Sine and Cosine

Both Sine and Cosine have the same beautiful up-down curve (which repeats every 2π radians, or 360°).

And they are like good friends: they follow each other, exactly "π/2" radians, or 90° apart.

sine cosine plot

 

tangent plot

Plot of the Tangent Function

The Tangent function has a completely different shape ... it goes between negative and positive Infinity, crossing through 0 (every 2π radians, or 360°), as shown on this plot.

At right angles (π/2 radians, or 90°), the function is officially undefined, because it could be positive Infinity or negative Infinity.