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. tan 16° C. 1.909152433°4. D. 17.45760312°5. E. 0.28674538586. F. 1.9626105067. G. 14.47751219°8. H. 1.0154266129. I. 1.05146222410. J. 0.9925461516

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Step 1: Identify the trigonometric function given in Column I, which is \( \tan 16^\circ \).

Step 2: Use a calculator or trigonometric table to find the approximate value of \( \tan 16^\circ \).

Step 3: Compare the calculated value of \( \tan 16^\circ \) with the values listed in Column II.

Step 4: Match the calculated value of \( \tan 16^\circ \) with the closest approximation in Column II.

Step 5: Confirm the match by ensuring the value from Column II is the closest to the calculated \( \tan 16^\circ \) value.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Trigonometric Functions

Trigonometric functions, such as sine, cosine, and tangent, relate the angles of a triangle to the ratios of its sides. Understanding these functions is essential for solving problems involving angles and distances in trigonometry. For example, the tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side, which is crucial for determining angle measures and function values.

Angle Measurement

Angles in trigonometry can be measured in degrees or radians. Degrees are a more common unit in everyday contexts, while radians are often used in higher mathematics. Knowing how to convert between these two units is vital for accurately matching angles with their corresponding trigonometric function values, as seen in the question's context.

Approximation of Trigonometric Values

Trigonometric values can be approximated using calculators or trigonometric tables. These approximations are essential for solving problems where exact values are not easily obtainable. In the context of the question, recognizing the approximate values of trigonometric functions for specific angles allows for accurate matching between the two columns presented.

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