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Inverse trigonometric functions

Correspondingly, the parameter 1/8q tends to zero and we can expand the inverse trigonometric function tan 1/8q in the power series... [Pg.101]

Derivatives of inverse trigonometric functions can be obtained in a similar fashion. For instance, the derivative of... [Pg.118]

Since not all electronic calculators are alike, detailed instructions cannot be given here. Read your instruction manual. You should purchase a calculator which, in addition to , —, x, and a functions, provides at least the following scientific notation (powers of ten) logarithms and antilogarithins (inverse logarithms) both natural and common (base ten) and exponentials (y ). If it has these functions, it will probably have reciprocals (1/jt), squares, square roots, and trigonometric functions as well. [Pg.379]

More complicated equations can be solved using the inverse trigonometric functions. Suppose that... [Pg.92]

As before, the appropriate inverse trigonometric function is used to give... [Pg.92]

Notice that the units on the left-hand side of the equation cancel the values of trigonometric functions and their inverses do not have units. [Pg.93]

Here C is the gas phase (uncoupled) flux autocorrelation function, Zbath is the bath partition function, J(co) is the bath spectral density (computed as described above from a classical molecular dynamics computation), Bi and B2 are combinations of trigonometric functions of the frequency a> and the inverse barrier frequency, and Anally ... [Pg.1213]

It is possible to think of trigonometric functions as defining a mathematical function in an inverse way. For example, if... [Pg.29]

The remaining inverse trigonometrical functions may be left as an exercise for the student. Their values will be found on page 193. [Pg.51]

IV. Expressions involving the square root of a quadratic binomial can very often be readily solved by the aid of a lucky trigonometrical substitution. The form of the inverse trigonometrical functions (Table II.) will sometimes serve as a guide in the right choice. If the binomial has the forms ... [Pg.202]

The elliptic functions are thus related to the elliptic integrals the same as the trigonometrical functions are related to the inverse trigonometrical functions, for, as we have seen, if... [Pg.428]

See other pages where Inverse trigonometric functions is mentioned: [Pg.419]    [Pg.439]    [Pg.32]    [Pg.9]    [Pg.17]    [Pg.29]    [Pg.29]    [Pg.10]    [Pg.246]    [Pg.266]    [Pg.72]    [Pg.92]    [Pg.92]    [Pg.92]    [Pg.93]    [Pg.94]    [Pg.95]    [Pg.551]    [Pg.567]    [Pg.315]    [Pg.29]    [Pg.29]    [Pg.30]    [Pg.49]    [Pg.50]    [Pg.242]    [Pg.661]    [Pg.563]    [Pg.579]   
See also in sourсe #XX -- [ Pg.32 ]

See also in sourсe #XX -- [ Pg.29 ]

See also in sourсe #XX -- [ Pg.21 ]



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