Sin^-1(1/2)
To start with, let’s understand what “sin^-1” means
To start with, let’s understand what “sin^-1” means. It is the inverse function of the sine function, also known as arcsine or asin.
In this case, we have sin^-1(1/2). This means we are looking for an angle whose sine value is 1/2.
To find this angle, we can use the inverse sine function. The inverse sine function of 1/2 is denoted as sin^-1(1/2) or arcsin(1/2).
In trigonometry, we have a unit circle that helps us find the values of sine, cosine, and tangent for different angles. The unit circle is a circle with a radius of 1.
For an angle, the sine value is given by the y-coordinate of the point where the terminal side of the angle intersects the unit circle.
Considering this, let’s find the angle whose sine value is 1/2.
In the unit circle, there are two angles that have a sine value of 1/2. Those angles are 30 degrees and 150 degrees (or π/6 and 5π/6 radians, respectively).
So, sin^-1(1/2) can be written as arcsin(1/2) = 30 degrees or π/6 radians.
Hence, the angle whose sine is 1/2 is 30 degrees or π/6 radians.
More Answers:
The Inverse Sine of 1: Solving for the Angle that Gives a Sine Value of 1Understanding and Evaluating the Inverse Sine Function: sin^-1(√3/2)
The Value of Inverse Sine for √2/2: Understanding Trigonometric Identities and Special Right Triangles