CONCEPT PREVIEW Match each trigonometric function value or angle in Column I with its appropriate approximation in Column II. I II. 1. A. 88.09084757° 2. B. 63.25631605° 3. C. 1.909152433° 4. D. 17.45760312° 5. sin⁻¹ 0.30 E. 0.2867453858 6. F. 1.962610506 7. G. 14.47751219° 8. H. 1.015426612 9. I. 1.051462224 10. J. 0.9925461516

Key Concepts

Inverse Trigonometric Functions

Inverse trigonometric functions, such as sin⁻¹, cos⁻¹, and tan⁻¹, are used to determine the angle corresponding to a given trigonometric ratio. For example, sin⁻¹(0.30) finds the angle whose sine is 0.30. Understanding these functions is crucial for solving problems that require angle determination from known ratios.

Trigonometric Function Values

Trigonometric functions like sine, cosine, and tangent produce values based on angles measured in degrees or radians. Each function has specific values for standard angles (e.g., 0°, 30°, 45°, 60°, 90°). Familiarity with these values helps in approximating and matching angles with their corresponding function outputs.

Angle Measurement and Conversion

Angles can be measured in degrees or radians, and understanding how to convert between these two systems is essential in trigonometry. For instance, 180° is equivalent to π radians. This knowledge is important when matching angles to their trigonometric function values, as the context may require one measurement system over the other.