# How do you sketch the angle in standard position #-(23pi)/3#?

##### 1 Answer

Please read the explanation.

#### Explanation:

**Objective:** Sketch the angle **standard position.**

An angle is said to be in the standard position in the **Cartesian Coordinate System** if it's **vertex is at the origin** and it's **initial side** lies on the **positive x-axis.**

Examine the image (this was originally constructed using a computer software) given below with the angles measured in radians:

One complete rotation is

Observe that

We do this because we are sketching the angle

Now, it becomes easier to **divide one full rotation into convenient slices of angles** as shown in the image above.

**Negative angles** are measured in **clockwise direction** from the **initial side**.

To sketch the angle

One **full rotation** brings the angle **back into standard position.**

Hence, the angle **3 full rotations** and a ** #(5/6)^(th)# of a rotation**.

Hence, we can see that the angle **Quadrant-1**.

Hope it helps.