- 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...
- definitions, and
therefore other proofs are
based on the
Taylor series of sine and cosine, or on the
differential equation f ″ + f = 0 {\displaystyle...
- For
small angles, the
trigonometric functions sine, cosine, and
tangent can be
calculated with
reasonable accuracy by the
following simple approximations:...
-
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...
- 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...
-
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...
-
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...
- In
triangle geometry, the
sine-triple-
angle circle is one
of a
circle of the triangle. Let A1 and A2
points on BC , a side
of triangle ABC . And, define...
