Linear Approximations: Quiz
Problem 4
Use an appropriate linearization to find an approximate value of sin(85°).
Answers, problem 4
Choose a = 90° = π/2. Then L(x) = sin(π/2) + cos(π/2)(x - π/2) = 1. Therefore, using this linear approximation results in the estimate sin(x) = 1 for any x, so sin(85°) ≈ 1.