Evaluate the composition of inverse trig function with a negative value

The video tutorial explores the concept of evaluating trigonometric functions when given a sine value that does not correspond to a point on the unit circle. The instructor explains the limitations of the unit circle for certain values and demonstrates how to use a triangle with a different radius to solve for cosine using the Pythagorean theorem. The tutorial emphasizes understanding the relationship between sine, cosine, and the hypotenuse in trigonometry.

Why is the sine value of -1/3 not found on the unit circle?

• Because the hypotenuse cannot be 3 on the unit circle

• Because the unit circle only includes rational values

• Because the unit circle only includes integer values

• Because the unit circle only includes positive values

What is the significance of the hypotenuse in trigonometric functions?

• It determines the angle size

• It is always equal to 1

• It is always equal to the opposite side

• It is the longest side in a right triangle

What is the radius of the circle used to represent the sine relationship in this context?

• 4

• 1

• 2

• 3

How can the cosine of an angle be determined from a triangle?

• By dividing the hypotenuse by the adjacent side

• By dividing the hypotenuse by the opposite side

• By dividing the adjacent side by the hypotenuse

• By dividing the opposite side by the hypotenuse

What is the final calculated cosine value in this example?

• sqrt 2 / 3

• 1/3

• 2 sqrt 2 / 3

• 2/3