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Trigonometric functions - Wikipedia, the free encyclopedia
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The hyperbolic functions enjoy properties similar to the trigonometric functions; their definitions, though, are much more straightforward: ... While , , parametrizes the unit circle, the hyperbolic functions , , parametrize the standard hyperbola , x>1.
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You may already be familiar with some functions, maybe the linear and quadratic power functions, for instance. This notebook is about another set of functions, the trigonometric functions. They are often called the trig functions for short.
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Identities expressing trig functions in terms of their complements ... Periodicity of trig functions. Sine, cosine, secant, and cosecant have period 2 while tangent and cotangent have period . ... Identities for negative angles. Sine, tangent, cotangent, and cosecant are odd functions while cosine and secant are even functions.
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As long as we're doing that, we should also define the trig functions for angles beyond 180° and for negative angles. First we need to be clear about what such angles are.
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It is helpful if the user already knows some elementary facts about the trigonometric functions. (See e.g. the applet Definition of the trig functions). If appropriate, the Tangens function may be ignored. The applet is started from the red button in its own window.
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