# 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

**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"`.

**hllofthe** 18 Mar 2024, 22:40

"Having the same initial and terminal sides" is what we mean when we say something is coterminal. That is, despite the fact that they may include more revolutions, they appear identical.

X

"Having the same initial and terminal sides" is what we mean when we say something is coterminal. That is, despite the fact that they may include more revolutions, they appear identical.

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- 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