### Home > PC > Chapter 4 > Lesson 4.1.2 > Problem 4-29

4-29.

You can use the image of a BOW TIE to remind you to always draw a vertical line to the

*-axis when completing a triangle to compute sine and cosine. This is because the triangle you work with will always be part of the bow tie.*

In the diagram, assume the bow tie is symmetric with respect to both coordinate axes. Let

*EOW,*

*EOB,*

*EOT, and*

*EOI, where all of these angles are in standard position and between*

*. The angles for*

*are shown. Assume sin*

Without finding

, find the*exact*values for, , and . Use the Fundamental Pythagorean Identity or a right triangle to find

. Find the

*exact*values for, , and .

The first two are negative

The last one is positive