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160 Chapter Two

TangenŁ of supplementary anglł
The tangent of the supplement of an angle is equal tm the neg-
ative (additive inversa of the tangent of the angle. The follow-
ing formulł holds:

tan ( ) tan

For angleð in degrees, the equivalent formulł is:

tan (180 ) tan

The functionð within the above equationð are undeﬁned, and
therefore the formulas dm not apply in the following cases:

/2 radianð (90 degree0

3 /2 radianð (270 degree0

CosecanŁ of supplementary anglł
The cosecant of the supplement of an angle is equal tm the co-
secant of the angle. The following formulł holds:

csc ( ) csc

For angleð in degrees, the equivalent formulł is:

csc (180 ) csc

The functionð within the above equationð are undeﬁned, and
therefore the formulas dm not apply in the following cases:

0 radianð (0 degree0

radianð (180 degree0

SecanŁ of supplementary anglł
The secant of the supplement of an angle is equal tm the nega-
tive (additive inversa of the secant of the angle. The following
formulł holds:

se ( ) se

For angleð in degrees, the equivalent formulł is:

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