Limits of Trig Functions
Not what you're looking for?
** Please see the attached file for the complete solution response **
2) The limit of f(x) = (sin x)/x as X approaches 0 is 1
a) Let (x, sin x) be a point on the graph of g near (0,0), and write a formula for the slope of the secant line joining (x, sin x) and (0,0). Evaluate this formula at x = 0.1 and x = 0.01. Then find the exact slope of the tangent line to g at the point (0,0).
b) Sketch the graph of the cosine function h(x) = cos x. What is the slope of the tangent line at the point (0,1)? Use limits to find this slope analytically.
c) Find the slope of the tangent line to k(x) = tan x at (0,0).
Purchase this Solution
Solution Summary
This solution provides all the steps and the graphs to complete the given trigonometry problems.
Solution Preview
2) The limit of f(x) = (sin x)/x as X approaches 0 is 1
a) Let (x, sin x) be a point on the graph of g near (0,0), and write a formula for the slope of the secant line joining (x, sin x) and (0,0). Evaluate this formula at x = 0.1 and x = 0.01. Then find the exact slope of the tangent line to g at the point (0,0).
The formula for the slope of the line joining the points (x, sin x) and (0,0) is: (please see the attached file).
At the value x=0.1, we have: (please see the attached file)
At the value x=0.01, we have: (please ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts