The cosine and the versed sine are together equal to the radius, so that the versed sine is always 1, less the cosine.
The sine and the cosine I shall have occasion to employ in the latter part of my lecture.
If, finally, I make O C to coincide with O A, the angle is obliterated, the sine and the versed sine have both disappeared, and the cosine has become the radius.
If I diminish the angle A O C, by moving the radius O C toward O A, the sine C E diminishes rapidly, and the versed sine E A also diminishes, but more slowly, while the cosine O E increases.
Let one of the points be now depressed below the given plane; then the whole path of the light reflected from it will be lengthened by a line which is to the depression of the point as twice the cosine of incidence to the radius.
Cosine Aumerle, How far brought you high Herford on his way?
Where's my Cosine Toby, let some of my people haue a speciall care of him, I would not haue him miscarrie for the halfe of my Dowry.
By the Lord Madam, you wrong me, and the world shall know it: Though you haue put mee into darkenesse, and giuen your drunken Cosine rule ouer me, yet haue I the benefit of my senses as well as your Ladieship.
Saying, Cosine Toby, my Fortunes hauing cast me on your Neece, giue me this prerogatiue of speech To.
Cosine farewell: what presence must not know From where you do remaine, let paper show Mar.
Cosine farewell: and Vncle bid him so: Six yeares we banish him, and he shall go.
The turning moment acting upon the ring is proportional to the current in it, to the strength of the field, and to the cosine of the angle ß.
The cosine of this phase relation becomes a negative quantity which means that the coil is ~repelled~ by the field.
Multiply this by the cosine of the angle and divide by the sine, and we shall get the value of the arc QY for the equator.
But TA is to TC as radius to the cosine of the arc AR, and RR′ are the points on the earth's surface pierced by the axis of the vortex, supposing this axis coincident with the pole of the lunar orbit.
To do this we may reduce TC to Tt in the ratio of radius to cosine of the inclination, and taking TS for radius.
It therefore follows that the cosine of this angle, or the power factor is reduced.
The angle ACB gives the phase relation between voltage and current; the cosine of this angle CB ÷ AC is the power factor.
Knowing the sines and the cosines of two arcs a and b, to find the sine and the cosine of their sum and of their difference.
The projection of a plane area on a plane is equal to the product of that area by the cosine of the angle of the two planes.
Expressions of the sine and of the cosine in functions of the tangent.
Prove that in every triangle the square of the one side is equal to the sum of the squares of the two other sides, less twice the product of these two, multiplied by the cosine of the angle they inclose.
Or, having obtained the natural number, as directed above, subtract it from the natural cosine of the difference of the true altitudes, and the remainder will be the natural cosine of the true distance.
In Lord Kelvin's instrument the curve to be analysed is drawn on a cylinder whose circumference equals the period c, and the sine and cosine terms of the integral are introduced by aid of simple harmonic motion.
The period of greatest rate of change is that at which cos φ has the greatest value, and the maximum value of a cosine is when the arc has a value of zero degrees or of 180 degrees, its value corresponding, being 1.
That is, the power factor is numerically equal to the cosine of the angle of phase difference between current and pressure.
Multiplying the apparent watts by the cosine of the angle of lag gives the true watts.
The power factor is equal to the cosine of the angle of lag (or lead).
Eventually we may find use for them, perhaps in the same way we use imaginary numbers to find the roots of equations of a higher order than two, because cosine theta plus I sine theta equals e to the I sine theta, which lets us .
She turned to page 328 of her integral tables, checked the increment of sub-cosine A plus B over the nth root of A to the nth plus B to the nth, and transferred it to her notebook.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "cosine" in a variety of sentences. We hope that you will now be able to make sentences using this word. Other words: argument; element; equation; formula