In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places. sin⁻¹ 0.3

Key Concepts

Inverse Trigonometric Functions

Inverse trigonometric functions, such as sin⁻¹ (arcsin), are used to find the angle whose sine is a given value. For example, sin⁻¹(0.3) asks for the angle θ such that sin(θ) = 0.3. These functions are essential for solving problems where the angle is unknown but the ratio of sides is known.

Calculator Functions

Using a calculator to evaluate inverse trigonometric functions requires understanding how to access these functions. Most scientific calculators have a dedicated button for inverse functions, often labeled as 'sin⁻¹', 'cos⁻¹', or 'tan⁻¹'. Knowing how to input values correctly and interpret the output is crucial for accurate calculations.

Rounding Numbers

Rounding numbers is a mathematical process used to reduce the number of digits in a number while maintaining its value as close as possible. In this context, rounding the result of sin⁻¹(0.3) to two decimal places means adjusting the output to the nearest hundredth, which is important for presenting answers in a clear and standardized format.