Learn how to write the equation of the tangent line using trigonometry

The video tutorial explains how to write the equation of a line using the slope-intercept form. It covers the necessary components: slope and coordinates. The instructor demonstrates finding the X and Y coordinates using the unit circle and cosine function. The slope is calculated by taking the derivative of the function and evaluating it at a given point. Finally, the line equation is formed by combining the slope and coordinates.

What are the two essential components needed to write the equation of a line?

• A point and a tangent

• A derivative and a point

• A point and a slope

• A slope and a curve

How do you find the Y coordinate when given an X coordinate and a function?

• By plugging the X coordinate into the function

• By taking the derivative of the function

• By finding the tangent line

• By calculating the slope

What is the derivative of the cosine function?

• Negative cosine of X

• Cosine of X

• Negative sine of X

• Sine of X

How do you determine the slope at a specific point on a curve?

• By finding the Y coordinate

• By evaluating the derivative at that point

• By calculating the tangent line

• By using the unit circle

What is the final step in writing the equation of a line once you have the slope and coordinates?

• Use the point-slope form

• Evaluate the function

• Calculate the derivative

• Find another point