An Elementary Treatise On Graphs
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Sin# and cos# are therefore called periodic functions of x ; the angle 360 (or 2?r radians, if the angle is measured in radians) is called the period of sin x and cosx. The function tan# is also periodic, but its period is 180 (or TT radians) ; tan x is of course unaltered when x is increased or diminished by any multiple of 360 but, since it is unaltered when x is increased or diminished by any multiple of 180, the period is 180 and not 360.
In general, a function of oo is said to be periodic ...if the function does not change in value when x is increased or diminished by any multiple of a number a, and a is called the period of the function. It is to be understood that a is the smallest number that will secure this repetition of values.
Their periodicity is one of the most important of the properties of the trigonometric functions. In what follows we restrict ourselves almost entirely to the sine, cosine and tangent.
The following relations are fundamental (ia) sm(180 -#) = sm #, sin (# + 180) = -sin #, sin (360 -x)= -sin x.
What to read after An Elementary Treatise On Graphs?
You can find similar books in the "Read Also" column, or choose other free books by George a George Alexander Gibson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Sin# and cos# are therefore called periodic functions of x ; the angle 360 (or 2?r radians, if the angle is measured in radians) is called the period of sin x and cosx. The function tan# is also periodic, but its period is 180 (or TT radians) ; tan x is of course unaltered when x is increased or diminished by any multiple of 360 but, since it is unaltered when x is increased or diminished by any multiple of 180, the period is 180 and not 360.
In general, a function of oo is said to be periodic ...if the function does not change in value when x is increased or diminished by any multiple of a number a, and a is called the period of the function. It is to be understood that a is the smallest number that will secure this repetition of values.
Their periodicity is one of the most important of the properties of the trigonometric functions. In what follows we restrict ourselves almost entirely to the sine, cosine and tangent.
The following relations are fundamental (ia) sm(180 -#) = sm #, sin (# + 180) = -sin #, sin (360 -x)= -sin x.
What to read after An Elementary Treatise On Graphs?
You can find similar books in the "Read Also" column, or choose other free books by George a George Alexander Gibson to read onlineMoreLess
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