arc sine is the inverse function of the sine function so if y = sin(x) then x = arcsin(y) where y belongs to [-pi/2, pi/2].
It can be calculated using the Taylor series given in the link below.
Chat with our AI personalities
Yes, it is called arcsin.
The trigonometric function of an angle gives a certain value The arc trigonometric function of value is simply the angle For example, if sin (30 degrees) = 0.500 then arc sine ( 0.500) = 30 degrees
In degrees because an arc is part of the circumference of a circle which has a total of 360 degrees
Determine the angle opposite the arc and divide by 360. Multiply that by the radius and double the resulting quotient. Multiply by pi. This is the length of the arc.
The sine is almost equal to the angle, in case the angle is expressed in radians. Please make a picture of a circle, put a point on the circle at a small angle (say, 10 degrees or less), then draw the sine (a vertical line from the x-axis up to your point) for a small angle. You will see that the arc of the circle has almost the same length as the vertical line you drew. The arc is the angle; the vertical line is the sine.