Find the equation of the tangent line to y=sinx at x=2pie

y = x - 2π

General Formulas and Concepts:

Pre-Algebra

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Pre-Calculus

Calculus

The definition of a derivative is the slope of the tangent line.

Derivatives of Trig Functions

Step-by-step explanation:

Step 1: Define

y = sinx

x = 2π

Step 2: Find Derivative

This is the function of the tangent line for y.

Step 3: Find slope

This tells us that the slope of the tangent line is 1 at x = 2π.

Step 4: Write equation

Find a point.

Write tangent function.

This is the equation of the tangent line at x = 2π.

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct