find one angle larger than  360 and one angle less than 0 that are both cotermina; with 105

To find coterminal angles with \(105^\circ\), we can add or subtract multiples of \(360^\circ\) because angles repeat every \(360^\circ\).

### For an angle larger than \(360^\circ\):
We add \(360^\circ\) to \(105^\circ\):
\[
105^\circ + 360^\circ = 465^\circ
\]
So, one coterminal angle larger than \(360^\circ\) is \(465^\circ\).

### For an angle less than \(0^\circ\):
We subtract \(360^\circ\) from \(105^\circ\):
\[
105^\circ - 360^\circ = -255^\circ
\]
So, one coterminal angle less than \(0^\circ\) is \(-255^\circ\).

Thus, the coterminal angles are:
- Greater than \(360^\circ\): \(465^\circ\)
- Less than \(0^\circ\): \(-255^\circ\)

Would you like further details on coterminal angles or have any questions?

Here are 5 related questions to deepen your understanding:
1. How do you determine if two angles are coterminal?
2. What are the coterminal angles for \(210^\circ\)?
3. How can you find the smallest positive coterminal angle?
4. What is the significance of coterminal angles in trigonometry?
5. How would you find coterminal angles for a radian measure?

**Tip:** When solving for coterminal angles, always remember to adjust by adding or subtracting \(360^\circ\) (or \(2\pi\) radians).

Find one angle larger than 360 and one angle less than 0 that are both coterminal with 105.

Discover how to find coterminal angles for 105° by adding and subtracting multiples of 360°. In this step-by-step guide, you will learn how to calculate an angle larger than 360° and an angle less than 0° that are coterminal with 105°. This trigonometry problem is suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation