Here are the essential concepts you must grasp in order to answer the question correctly.
Trigonometric Functions
Trigonometric functions relate the angles of a triangle to the lengths of its sides. The primary functions include sine (sin), cosine (cos), and tangent (tan), which are defined as ratios of the sides of a right triangle. Understanding these functions is essential for solving problems involving angles and distances in trigonometry.
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Tangent Function
The tangent function is defined as the ratio of the opposite side to the adjacent side in a right triangle. It can also be expressed in terms of sine and cosine as tan(θ) = sin(θ) / cos(θ). Knowing how to calculate and interpret the tangent function is crucial for finding exact values in trigonometric problems.
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Exact Values of Trigonometric Functions
Exact values of trigonometric functions refer to specific values that can be determined without approximation, often using special angles like 0°, 30°, 45°, 60°, and 90°. These values are typically derived from the unit circle or special right triangles, and they are fundamental for solving trigonometric equations and problems accurately.
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