Question

convert the angle θ = 70° to radians. express your answer exactly. θ = radians

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given angle

We are given \( \theta = 70^\circ \). Substituting into the formula, we get:
\( \theta = 70 \times \frac{\pi}{180} \)

Step3: Simplify the fraction

Simplify \( \frac{70}{180} \) by dividing both the numerator and the denominator by 10, we get \( \frac{7}{18} \). So, \( \theta = \frac{7\pi}{18} \)

Answer:

\( \frac{7\pi}{18} \)