## sine
a, is a trigonometric
functions, the ratio of the opposite side to the hypotenuse in a right-angled
triangle. For the graph of y = sin x, shown in the diagram, if the
x-axis is extended, the graph repeats itself every 360°, i.e. the
period is 360°. The amplitude oscillates between +1 and –1. ## The sine rule or theoremInplane geometry, if a, b, and c
are the sides, and A, B, and C the angles of
a triangle, then a : b : c = sin A :
sinB : sin C. In other words:
The theorem can be used to solve a triangle if one side, the opposite angle, and a further side or a further angle are given. In spherical geometry, if a, b, and c
are the sides, and A, B, and C the angles of
a spherical triangle, then sin a : sin b : sin c
= sin A : sinB : sin C. In other words:
sinThe sine theorem of spherical geometry, like that of plane geometry, can be used to solve a spherical triangle if one side, the opposite angle, and a further side or a further angle are given. ## Related category• FUNCTIONS | |||||||

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