Review of how to set up a point to evaluate six trigonometric functions

The video tutorial covers evaluating trigonometric functions using the unit circle and triangles. It explains how to find sine, cosine, and tangent for angles on the unit circle and for triangles using the Pythagorean theorem. The tutorial also addresses evaluating trigonometric functions for coordinate points not on the unit circle by creating triangles. The importance of understanding the hypotenuse and its positive value is emphasized. The video concludes with a summary and application of these concepts to homework and tests.

What is the sine of an angle on the unit circle if the coordinates are (sqrt(2)/2, sqrt(2)/2)?

• sqrt(2)/2

• 1

• 0

• -sqrt(2)/2

When given a right triangle with sides 3 and 4, how do you find the hypotenuse?

• Subtract the sides

• Add the sides

• Multiply the sides

• Use the Pythagorean theorem

What is the cosine of an angle if the adjacent side is 3 and the hypotenuse is 5?

• 5/3

• 3/5

• 4/5

• 1

How do you determine the sine of an angle using a right triangle?

• Hypotenuse over opposite

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Adjacent over opposite

What is the tangent of an angle if the opposite side is 4 and the adjacent side is 3?

• 1

• 5/3

• 3/4

• 4/3

What is the value of the hypotenuse for a triangle on the unit circle?

• 2

• 1

• sqrt(2)

• 0

If a point is not on the unit circle, what must you do to evaluate trigonometric functions?

• Use the unit circle directly

• Ignore the point

• Use only the x-coordinate

• Create a triangle