# `theta = (2pi)/3` Find the reference angle `theta ' ` and sketch `theta` and `theta ' ` in standard position.

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Student Comments

kspcr111 | Student

These can be easily understood by converting into the degrees

so,

`theta = 2pi/3` = `2/3 ` of `180^@` `= 120 ^@`

`theta '` = the reference angle

The reference angle is defined as

**"The smallest angle that the terminal side of a given angle makes with the x-axis"**

so the **reference angle is `theta '` =** `60^@` which is shown in the attachment below