(Section 2.8: Continuity) 2.8.13 Continuity of Composite FunctionsIf gis continuous at a, andfis continuous at ga(), then f±gis continuous at a. (See Footnote 6.) Continuity of Basic Trig FunctionsThe six basic trig functions (sine, cosine, tangent, cosecant, secant, and cotangent) are continuous on their domains. More precisely, the continuity interval(s) for a basic trig functioncorrespond(s) to its domain. Such intervals are all open. Example 12Assuming hx=sec1x±²³´µ¶
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