Use a calculator to approximate each real number value. (Be sure the calculator is in radian mode.)
y = arcsin 0.92837781

Key Concepts

Inverse Trigonometric Functions

Inverse trigonometric functions, such as arcsin, are used to find the angle whose sine is a given number. For example, if y = arcsin(x), then sin(y) = x. These functions are essential for solving problems where the angle is unknown but the sine value is provided.

Radian Measure

Radian measure is a way of measuring angles based on the radius of a circle. One radian is the angle formed when the arc length is equal to the radius. Calculators often have settings for degrees and radians, and it's crucial to ensure the correct mode is selected when performing trigonometric calculations.

Calculator Functions

Using a calculator effectively involves understanding its functions, especially for trigonometric calculations. When calculating arcsin, the calculator must be set to radian mode to provide the correct output in radians. Familiarity with the calculator's interface and functions is vital for accurate computations.