Find the exact values of the inverse function
arcsin 1/2
of course. What is the sin30degrees?
Basically the arcsin is the same as sin^-1 so the sin^-1(.5)= 30 degrees
You can use a unit circle or a 30-60-90 triangle to figure it out.
Sin would be 1/2 +360n?
To find the exact value of the inverse function of arcsin (1/2), we need to find the angle whose sine is equal to 1/2.
The arcsin function, also written as sin^(-1), or "inverse sine," is the inverse of the sine function. It returns the angle whose sine is equal to the input value.
In this case, we are looking for the angle whose sine is equal to 1/2. To find this angle, we can use the unit circle.
The unit circle is a circle with a radius of 1 and centered at the origin (0,0) on a coordinate plane. The unit circle is useful for understanding the values of trigonometric functions in terms of angles.
On the unit circle, the sine of an angle is equal to the y-coordinate of the point on the circle that corresponds to that angle.
Here's how we can find the angle whose sine is 1/2:
1. Draw the unit circle on a coordinate plane.
2. Locate the angle whose sine is 1/2. Since sine is positive in the first and second quadrants, the angle we are looking for will be in one of these quadrants.
3. In the unit circle, the angle whose sine is equal to 1/2 is π/6 or 30 degrees. This angle is located on the positive y-axis.
Therefore, the exact value of the inverse function of arcsin (1/2) is π/6 or 30 degrees.