Question

value of tan θ in simplest
55/12
a convert the angle 2π radians to degrees.
360°

1. convert the following angle from degrees to radians.

express your answer in simplest form.
630°

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, we use the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180^\circ} \)

Step2: Substitute the given angle

We have the angle \( 630^\circ \). Substitute it into the formula: \( 630^\circ \times \frac{\pi}{180^\circ} \)

Step3: Simplify the fraction

Simplify \( \frac{630}{180} \). Both numerator and denominator are divisible by 90: \( \frac{630\div90}{180\div90} = \frac{7}{2} \)
So, \( 630^\circ \) in radians is \( \frac{7\pi}{2} \)

Answer:

\( \frac{7\pi}{2} \)