Dividing this function of x by x gives the sinc ("Sink") function, whose integral from 0 to infinity is equal to pi over 2 according to the Dirichlet integral formula. In Euler's formula for e to the i x, this function appears in the imaginary term of the expansion, and this (*) odd function has a fixed point at zero. The Taylor expansion of this function has terms with odd exponents and divided by odd factorials, and that expansion is used to show that for small x, this function is approximately equal to x. The reciprocal of this function is the cosecant. For 10 point
Dividing this function of x by x gives the sinc ("Sink") function, whose integral from 0 to infinity is equal to pi over 2 according to the Dirichlet integral formula. In Euler's formula for e to the i x, this function appears in the imaginary term of the expansion, and this (*) odd function has a fixed point at zero. The Taylor expansion of this function has terms with odd exponents and divided by odd factorials, and that expansion is used to show that for small x, this function is approximately equal to x. The reciprocal of this function is the cosecant. For 10 points, name this trigonometric function which gives the opposite divided by the hypotenuse.
Dividing this function of x by x gives the sinc ("Sink") function, whose integral from 0 to infinity is equal to pi over 2 according to the Dirichlet integral formula.
sine or sin x