sin(x)
The sine function, denoted as sin(x), is a fundamental trigonometric function that gives the ratio of the length of the side opposite to an angle in a right triangle to the length of the hypotenuse of the triangle
The sine function, denoted as sin(x), is a fundamental trigonometric function that gives the ratio of the length of the side opposite to an angle in a right triangle to the length of the hypotenuse of the triangle. In other words, sin(x) represents the vertical component (y-coordinate) of a point on the unit circle corresponding to an angle x.
The value of sin(x) can range from -1 to 1, depending on the value of x. The function is periodic with a period of 2π, meaning that it repeats its values every 2π radians or 360 degrees.
Here is a table of some common values of sin(x):
x (in degrees) x (in radians) sin(x)
—————————————-
0 0 0
30 π/6 1/2
45 π/4 √2/2
60 π/3 √3/2
90 π/2 1
180 π 0
270 3π/2 -1
360 2π 0
It is also important to note that sin(x) is an odd function, which means that sin(-x) = -sin(x). This symmetry helps in simplifying trigonometric equations and identities.
In addition to being used in trigonometry, the sine function is also widely used in calculus, physics, engineering, and many other fields.
If you have a specific question or problem involving sin(x), please provide it, and I’ll be happy to help you further.
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