Evaluating the integral with trig tangent

The video tutorial explains how to evaluate the integral of secant squared, which results in the tangent function. The instructor demonstrates substituting values from π/4 to 0 into the tangent function and discusses the unit circle to clarify why the tangent of 0 is 0. The video also addresses common misconceptions about tangent and arctan, ensuring students understand the concepts clearly.

What is the result of evaluating the integral of secant squared from π/4 to 0?

• 0

• Undefined

• 1

• π/4

What is the value of tangent at π/4?

• 0

• 1

• Undefined

• √2

Which point on the unit circle corresponds to tangent being 0?

• (0, -1)

• (√2/2, √2/2)

• (0, 1)

• (1, 0)

What happens to the tangent function at the point (0, 1) on the unit circle?

• It is 0

• It is 1

• It is undefined

• It is negative

What is the tangent of angle 0?

• π

• 1

• 0

• Undefined