### Home > PC3 > Chapter 4 > Lesson 4.2.1 > Problem 4-61

4-61.

If is the origin,

*. Use the Pythagorean Theorem to determine*

*.*

This angle is in Quadrant III. Should and

*each be considered positive or negative?*

Evaluate sin(

*θ*).Evaluate cos(

*θ*).If

*α*is another angle with the same sine as*θ*, but a different cosine, in what quadrant is*α*?For

*θ*, sine and cosine are both negative.

In what quadrant is sine negative and cosine positive?If

*β*is another angle with the same cosine as*θ*, but a different sine, in what quadrant is*β?*For

*θ*, sine and cosine are both negative.

In what quadrant is sine positive and cosine negative?