create problem similar to this one: find all values on the graph of f(x) = x -2cos(x) where the tangent line has slope 1.

Here’s a similar problem:

**Problem:**
Find all values on the graph of \( f(x) = x + \sin(x) \) where the tangent line has slope 2.

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Would you like a detailed explanation on how to solve this?

Here are 5 related questions to consider:
1. What is the general formula for finding the slope of a tangent line to a function?
2. How do you differentiate trigonometric functions like \( \sin(x) \)?
3. How does the derivative help in determining where the slope of the tangent line equals a certain value?
4. How can you interpret the slope of a tangent line geometrically on a graph?
5. What are the steps to solving for the points where the slope of a tangent line equals 2?

**Tip:** The derivative of a function gives you the slope of the tangent line at any point on the graph.

Find all values on the graph of f(x) = x - 2cos(x) where the tangent line has slope 1.

Discover how to find the values on the graph of f(x) = x - 2cos(x) where the tangent line has a slope of 1. This calculus problem involves differentiating the function and solving for points where the derivative equals 1. Perfect for students in Grades 11-12 studying calculus and trigonometric differentiation.

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