Here are the essential concepts you must grasp in order to answer the question correctly.
Secant Function
The secant function, denoted as sec(θ), is the reciprocal of the cosine function. It is defined as sec(θ) = 1/cos(θ). Understanding this relationship is crucial for evaluating secant values, especially for common angles like 45°, where the cosine value is known.
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Graphs of Secant and Cosecant Functions
Special Right Triangles
Special right triangles, particularly the 45°-45°-90° triangle, have specific side ratios that simplify trigonometric calculations. In a 45°-45°-90° triangle, the legs are equal, and the hypotenuse is √2 times the length of each leg. This property allows for quick evaluation of trigonometric functions at these angles.
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Rationalizing the Denominator
Rationalizing the denominator is a technique used to eliminate square roots from the denominator of a fraction. This is done by multiplying the numerator and denominator by a suitable value that will result in a rational number in the denominator. This concept is important when expressing trigonometric values in a standard form.
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