Use a calculator to approximate the value of each expression. Give answers to six decimal places. sec 58.9041°

Key Concepts

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). This means that to find the secant of an angle, you first need to calculate the cosine of that angle and then take its reciprocal. Understanding this relationship is crucial for solving problems involving secant.

Calculator Functions

Using a scientific or graphing calculator effectively is essential for evaluating trigonometric functions. Most calculators have dedicated buttons for sine, cosine, and secant, and they can compute values in degrees or radians. Familiarity with the calculator's settings and how to input angles correctly ensures accurate results, especially when precision to six decimal places is required.

Angle Measurement

Trigonometric functions can be evaluated in degrees or radians, and it is important to know which unit your calculator is set to. In this case, the angle is given in degrees (58.9041°), so the calculator must be in degree mode to obtain the correct secant value. Misunderstanding angle measurement can lead to incorrect calculations and results.