How to evaluate for the composition of the tangent and cosine

The video tutorial explains the restrictions on angles for tangent and sine, emphasizing the importance of staying within these limits. It then explores the cosine of π, identifying its position on the unit circle. The tutorial continues by finding the angle for the tangent inverse of -1, using reflections and coordinate points to determine the correct angle within the constraints of -π/2 to π/2.

Why is it important to keep angles within certain restrictions when dealing with tangent and sine?

• To ensure the angles are positive

• To simplify calculations

• To avoid complex numbers

• To maintain the correct quadrant

What is the cosine of π on the unit circle?

• π

• -1

• 0

• 1

Which coordinate point on the unit circle results in a tangent of 1?

• (-1, 0)

• (1, 0)

• (0, 1)

• (√2/2, √2/2)

What happens when you reflect the point (√2/2, √2/2) over the y-axis?

• It becomes (√2/2, -√2/2)

• It remains the same

• It becomes (-√2/2, -√2/2)

• It becomes (-√2/2, √2/2)

Which angle falls within the constraint of -π/2 to π/2 and results in a tangent of -1?

• -π/2

• π/4

• π/2

• -π/4