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Graphs, domain, and range of sinx and cosx, general sinusoidal functions, modeling periodic phenomena, tanx and reciprocal trig functions, inverse trig functions
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Notice that both sinx and cosx have a domain of x∈R and a range of (−1,1).
A sinusoidal function is a generalization of sin and cos to the form
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or
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The tan function is defined by tanx=cosxsinx.
The domain is thus x=22k+1π (there are vertical asymptotes at those x′s), and the range is all real numbers R.
The function has roots at x=0,±π,±2π… (ie x=kπ where k∈Z)
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