Answer:
The answer is
![- (7\pi)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/o1w99h9luf8l9ar8yox0u247clotuzxl54.png)
Explanation:
To convert an angle from degrees to radians multiply the value by
![(\pi)/(180)](https://img.qammunity.org/2021/formulas/mathematics/college/del86slaeqm9qcnzz6abltyw9x0q1keisc.png)
From the question the value to be converted is - 420°
The value in radians is
![- 420 * (\pi)/(180) \\ = - (420\pi)/(180)](https://img.qammunity.org/2021/formulas/mathematics/high-school/gxqbmxvtj15nhgk552y4dlmce5qzq1hmgq.png)
Reduce the fraction with 60
We have the final answer as
![- (7\pi)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/o1w99h9luf8l9ar8yox0u247clotuzxl54.png)
Hope this helps you