sin of theta
y/r
In trigonometry, sin (short for sine) is a function that relates the ratio of the side opposite to an angle in a right triangle to the length of the hypotenuse.
The formula for sin theta can be written as:
sin(theta) = opposite side / hypotenuse
where theta is the angle between the opposite side and the hypotenuse.
Alternatively, we can also use the unit circle to define the sine of an angle. In this case, sin theta is defined as the y-coordinate of the point on the unit circle corresponding to the angle theta.
Keep in mind that sine is a periodic function with a period of 2π. It takes values between -1 and 1 for any angle theta measured in radians.
For example:
– The sin of 0 radians (0 degrees) is 0
– The sin of π/2 radians (90 degrees) is 1
– The sin of π radians (180 degrees) is 0
– The sin of 3π/2 radians (270 degrees) is -1
– The sin of 2π radians (360 degrees) is 0
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