Option c: [tex]-\frac{\pi}{5}[/tex] is the correct answer.
Explanation:
The given degree is –36°
Since, [tex]1^{\circ}=\frac{\pi}{180}[/tex]
The radian of –36° can be determined by multiplying it with [tex]\frac{\pi}{180}[/tex]
Thus, the degree can be converted into radians, by multiplying the degree with [tex]\frac{\pi}{180}[/tex]
Hence, it can be written as
[tex]-36^{\circ} \times \frac{\pi}{180}[/tex]
Multiplying, we get,
[tex]\frac{-36^{\circ} \pi}{180}[/tex]
Dividing, we have,
[tex]-\frac{\pi}{5}[/tex]
Thus, the radian of -36° is [tex]-\frac{\pi}{5}[/tex]
