## Sin^-1(0)

### To find the inverse sine of 0, denoted as sin^(-1)(0) or arcsin(0), we need to determine the angle whose sine value is 0

To find the inverse sine of 0, denoted as sin^(-1)(0) or arcsin(0), we need to determine the angle whose sine value is 0.

The sine function is a periodic function that maps angles to their corresponding y-coordinate on the unit circle. The unit circle is a circle with radius 1 centered at the origin (0,0) in a coordinate plane.

For the sine function, we have the following key values:

sin(0) = 0

sin(π/6) = 1/2

sin(π/4) = √2/2

sin(π/3) = √3/2

sin(π/2) = 1

sin(2π/3) = √3/2

sin(3π/4) = √2/2

sin(5π/6) = 1/2

sin(π) = 0

Since sin(0) = 0, the angle whose sine value is 0 is 0 radians or 0 degrees. Therefore, sin^(-1)(0) = 0.

## More Answers:

Exploring the Value of sin^-1 (√3/2): Finding the Angle Whose Sine is (√3/2)Discovering the Angle: Solving for sin^(-1)(√2/2)

Understanding the Inverse Sine Function: sin^-1(1/2) Explained with Trigonometry and Reference Angles

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