How to evaluate for the composition of the tangent and cosine

The video tutorial explains the restrictions on angles for tangent and sine functions, emphasizing the importance of staying within specified limits. It discusses the cosine of π using the unit circle and explores the concept of tan inverse, focusing on finding angles that produce specific tangent values. The tutorial also covers reflections over the axes to determine the correct angle within given constraints.

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

• To prevent using angles that are too small

• To avoid exceeding the unit circle

• To ensure the angles are positive

• To maintain consistency with trigonometric identities

What is the cosine of π on the unit circle?

• Undefined

• -1

• 0

• 1

Which angle corresponds to a tangent value of 1?

• 3π/4

• π

• π/4

• π/2

What reflection over the axes results in a tangent of -1?

• No reflection needed

• Reflection over both axes

• Reflection over the X-axis

• Reflection over the Y-axis

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

• π/4

• π/2

• -π/4

• -π/2