Learn how to evaluate an expression given the composition of two trig expressions

The video tutorial explains how to solve sine tan inverse problems by working from the inside out. It covers the concept of tan inverse, focusing on the angle constraints between -π/2 and π/2. The tutorial demonstrates calculating the tan inverse of 1, identifying the relevant angle as π/4 or 45 degrees. It also discusses the sine of π/4 and uses the unit circle to understand the relationship between angles and coordinates. The tutorial emphasizes understanding the Y over X coordinate relationship in the first quadrant.

What is the constraint for the angle when calculating the tangent inverse?

• Between 0 and 2π

• Between -π and π

• Between -π/2 and π/2

• Between 0 and π

What is the tangent inverse of 1 in the first quadrant?

• π/2

• π/3

• π/6

• π/4

Why is the angle 225 degrees not considered when finding the tangent inverse of 1?

• It is not a valid angle

• It is outside the constraint of -π/2 to π/2

• It is equal to π/4

• It is in the first quadrant

Which angle on the unit circle has a tangent of 1?

• π/6

• π/3

• π/4

• π/2

What is the sine of π/4?

• √3/2

• √2/2

• 1

• 1/2