# Coterminal angle [Solved!]

**anhy** 22 Apr 2020, 22:16

### My question

find the least positive degree of an angle that is coterminal with an angle of the following measurment.

-205 degrees

### Relevant page

### What I've done so far

Drawn plenty of triangles

**450+** Math Lessons written by Math Professors and Teachers

**5 Million+** Students Helped Each Year

**1200+** Articles Written by Math Educators and Enthusiasts

Simplifying and Teaching Math for **Over 23 Years**

- IntMath Home
- Forum home
- Trigonometric Functions
- Coterminal angle

**anhy** 22 Apr 2020, 22:16

find the least positive degree of an angle that is coterminal with an angle of the following measurment.

-205 degrees

Drawn plenty of triangles

X

find the least positive degree of an angle that is coterminal with an angle of the following measurment. -205 degrees

Relevant page <a href="/">Interactive Mathematics</a> What I've done so far Drawn plenty of triangles

X

What does "coterminal" mean?

**Murray** 18 May 2020, 21:41

Anhy didn't respond to my question, so I'll just go ahead.

Coterminal means "having the same initial and terminal sides". That is, they **look** the same, even though they may involve more revolutions.

In this case, we need to find an equivalent positive angle for `-205^"o"`. This means the angle goes in a ,strong>clockwise direction (since the angle is negative), just a little more than a straight angle (`180^"o"`).

It will be `360^"o" - 205^"o" = 155^"o"`

So the required positive angle is `155^"o"`.

X

Anhy didn't respond to my question, so I'll just go ahead. Coterminal means "having the same initial and terminal sides". That is, they <strong>look</strong> the same, even though they may involve more revolutions. In this case, we need to find an equivalent positive angle for `-205^"o"`. This means the angle goes in a ,strong>clockwise direction (since the angle is negative), just a little more than a straight angle (`180^"o"`). It will be `360^"o" - 205^"o" = 155^"o"` So the required positive angle is `155^"o"`.

You need to be logged in to reply.

- Re: Is 270 degrees considered to be in the 3rd or the 4th quadrant? [Solved!]

It does a lot. Thanks**Daniel**12 Dec 2015, 02:42 - Solving a triangle [Solved!]

What does it mean to "solve a triangle"**Deyanza**07 Dec 2015, 09:43 - Coterminal angle [Solved!]

find the least positive degree of an angle that is coterminal with an angle of...**Bridgett**26 Nov 2015, 08:11

- Trigonometric Functions
- 1. Angles
- 2. Sine, Cosine, Tangent & Reciprocals
- 3. Values of Trigonometric Functions
- 4. The Right Triangle and Applications
- 4a. Trigonometry Revision Summary
- 5. Signs of the Trigonometric Functions
- 6. Trigonometric Functions of Any Angle
- 7. Radians
- 8. Applications of Radian Measure
- 8a. Pulleys
- 9. Radians and the Trigonometric Ratios