Learn how to evaluate the inverse composition of sine and cosine

The video tutorial focuses on solving trigonometric problems, emphasizing the importance of practice. It guides students through evaluating the cosine of π/3, explaining the coordinate point and its significance. The tutorial then transitions to arcsine, discussing angle restrictions and identifying the correct angle within the restricted domain. The teacher highlights key angles and reinforces the importance of understanding these concepts for exams.

What is the first step when approaching a trigonometric problem?

• Work on the innermost portion of the problem

• Solve the outermost part of the problem

• Check the answer key first

• Guess the answer

What is the cosine of π/3?

• 1/2

• 1

• sqrt(3)/2

• 0

Where is π/3 located on the unit circle?

• At 2/3 of π

• At π/2

• At 1/3 of π

• At π

What is the angle when sine is equal to 1/2 within the restricted domain?

• π/2

• π/3

• π/6

• 5π/6

Why is the domain of arcsine restricted?

• To ensure the function is one-to-one

• To make calculations easier

• To include all possible angles

• To avoid negative angles