Use a calculator to approximate the value of each expression. Give answers to six decimal places. In Exercises 21–28, simplify the expression before using the calculator. See Example 1. 1 ————— sec 14.8°

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). Understanding this function is crucial for simplifying expressions involving secant, as it allows you to convert secant into a more manageable form before performing calculations.

Simplification of Trigonometric Expressions

Simplifying trigonometric expressions involves using identities and relationships between trigonometric functions to rewrite them in a simpler form. This process often makes calculations easier and more straightforward, especially when using a calculator, as it reduces the complexity of the expression being evaluated.

Calculator Precision

When using a calculator to approximate values, it is important to understand the significance of precision. In this context, providing answers to six decimal places means ensuring that the final result is accurate to that level of detail, which is essential for precision in mathematical calculations and applications.