- mathematics,
sine and
cosine are
trigonometric functions of an
angle. The
sine and
cosine of an
acute angle are
defined in the
context of a
right triangle:...
-
equation relating the
lengths of the
sides of any
triangle to the
sines of its
angles.
According to the law, a sin α = b sin β = c sin γ = 2 R ,...
-
trigonometric functions,
related to right-
angle triangles,
define them only for
acute angles. To
extend the
sine and
cosine functions to
functions whose...
-
number is
called a
phase factor. The
trigonometric functions cosine and
sine of angle θ may be
defined on the unit
circle as follows: If (x, y) is a point...
- definitions, and
therefore other proofs are
based on the
Taylor series of sine and cosine, or on the
differential equation f″+f=0{\displaystyle f''+f=0}...
- then the top edge
of the bar will be
tilted by the same
amount forming an
angle that may be
calculated by the
application of the
sine rule. The hypotenuse...
-
identities or the multiple-
angle formulae. The fact that the triple-
angle formula for
sine and
cosine only
involves powers of a
single function allows one...
-
negative angle of refraction with a
negative refractive index. The law
states that, for a
given pair
of media, the
ratio of the
sines of angle of incidence...
-
related to the sum
of the face
angles, or
other metrics such as the
polar sine. The
simplest type
of polyhedral angle is a
trihedral angle or
trihedron (bounded...
-
between the lines. As the
sine of an
angle and the
sine of its
supplementary angle are the same, any
angle of rotation that maps one
of the
lines into the other...
