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