- 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:...
- Law
of Sines In trigonometry, the law
of sines,
sine law,
sine formula, or
sine rule is an
equation relating the
lengths of the
sides of any
triangle to...
-
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...
-
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...
- 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...
- \theta } By extension,
since the
cosine of a
small angle is very
nearly 1, and the
tangent is
given by the
sine divided by the cosine, tan θ ≈ sin ...
-
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...
- 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...
