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 angles to ratios of sides in right triangles. The tangent function, specifically, is defined as the ratio of the opposite side to the adjacent side. Understanding how to evaluate these functions at specific angles is crucial for solving trigonometric equations.
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Substitution Method
The substitution method involves replacing a variable in an equation with a specific value to determine if the equation holds true. In this context, substituting the given x-value into the equation allows us to check if both sides of the equation are equal, thereby verifying if it is a solution.
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Solving Trigonometric Equations
Solving trigonometric equations requires manipulating the equation to isolate the variable, often using identities and algebraic techniques. This process may involve simplifying expressions, applying inverse functions, or using known values of trigonometric functions to find solutions that satisfy the equation.
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