What is the value of sin inverse sin4?

Question

Answer

Value of sin inverse sin4:

Definition of sin inverse: The inverse sine function, sin^-1(x), is the inverse of the sine function such that sin^-1(sin(x)) = x. It is also known as arcsin(x).

Solving sin inverse sin4: To find the value of sin^-1(sin(4)), we need to understand that sin(4) is a value between -1 and 1. Therefore, sin^-1(sin(4)) can be any value between -π/2 and π/2.

Using unit circle: We can use the unit circle to visualize this. Since sin(4) is a value between -1 and 1, we can find the angle on the unit circle where the y-coordinate is sin(4).

Calculating the angle: Using a calculator, we find that sin(4) is approximately 0.0698. To find the angle on the unit circle where the y-coordinate is 0.0698, we can use the inverse sine function on the calculator. We get an angle of approximately 4.0035 degrees.

Final answer: Therefore, the value of sin^-1(sin(4)) is approximately 4.0035 degrees (or any value between -π/2 and π/2).

Therefore, the value of sin inverse sin4 is approximately 4.0035 degrees (or any value between -π/2 and π/2).

Answer

Sin inverse sin4

Answer

Π-4