Cosine Sentence Examples

The inverse cosine is defined only in the domain from ` -1 ' to ` 1 ' .

Consequently, one of the forms suitable for the teeth of wheels is the involute of a circle; and the obliquity of the action of such teeth is the angle whose cosine is the ratio of the radius of their base-circle to that of the pitch-circle of the wheel.

On examining the diagram it will be observed that the maximum compressive stresses are parallel to and near to the down stream face of the section, which values are approximately equal to the maximum value of the vertical stress determined by the law of uniformly varying stress divided by the cosine squared of the angle between the vertical and the resultant.

Further, if polarized light fall at the polarizing angle on a reflecting surface, the intensity of the reflected stream depends upon the azimuth of the plane of incidence, being proportional to the square of the cosine of the angle between this plane and the plane of the polarization.

Each grid box was weighted by surface area, using the cosine of the latitude.

Relative to the number of elements in the detector the discrete cosine proves inefficient, particularly with regard to modulation information.

The result is in the range of - pi /2 through pi /2. acos( x) arc cosine of an angle.

Note that index 1 is for the higest frequency cosine instead of the 0 frequency sin.

Power series, radius of convergence, important examples including exponential, sine and cosine series.

The larger OUT cell, also in a cosine corrected mount, is used to measure the illuminance from a whole overcast hemisphere.

The pictures below show the cosine squared distribution of the ejected photoelectron in the presence of multiple scattering.

They use sine, cosine and tangent in right-angled triangles when solving problems in two dimensions.

Relationships and common formulae from elementary trigonometry, including the basic properties of sine and cosine.

He introduced the words cosine and cotangent, and he suggested to Henry Briggs, his friend and colleague, the use of the arithmetical complement (see Brigg's Arithmetica Logarithmica, cap. xv.).

In considering the relative brightnesses of the different spectra, it is therefore sufficient to attend merely to the principal directions, provided that the whole deviation be not so great that its cosine differs considerably from unity.

As far as the circlesquaring functions are concerned, it would seem that Gregory was the first (in 1670) to make known the series for the arc in terms of the tangent, the series for the tangent in terms of the arc, and the secant in terms of the arc; and in 1669 Newton showed to Isaac Barrow a little treatise in manuscript containing the series for the arc in terms of the sine, for the sine in terms of the arc, and for the cosine in terms of the arc. These discoveries 1 See Euler, ” Annotationes in locum quendam Cartesii," in Nov.

If six films of the same liquid meet in a point the corresponding tetrahedron is a regular tetrahedron, and each film, where it meets the others, has an angle whose cosine is - i.

After Rankine, a French engineer, Bouvier, gave the ratio of the maximum stress in a dam to the maximum vertical stress as 1 to the cosine squared of the angle between the vertical and the resultant which, in dams of the usual form, is about as 13 is to 9.