Problem 28 - Contemporary Precalculus

Question

Convert the given degree measure to radians. $$-12^{\circ}$$

Step-by-Step Solution

Answer

Question: Convert the angle measure -12° to radians. Answer: $$-\frac{1\pi}{15}$$ radians.

Step 1: Write down the conversion factor

The conversion factor for converting degrees to radians is $$\frac{\pi}{180}$$. This means that 180 degrees is equal to $$\pi$$ radians.

Step 2: Multiply the angle measure by the conversion factor

Now, we will multiply the given angle measure (-12°) by the conversion factor $$\frac{\pi}{180}$$. So, the calculation will be: $$-12^\circ \times \frac{\pi}{180}$$

Step 3: Simplify the expression

To find the equivalent radians, we need to simplify the previous expression: $$-\frac{12\pi}{180}$$ We can simplify this fraction by dividing both the numerator and the denominator by a common factor, which in this case is 12. So, we get: $$-\frac{1\pi}{15}$$

Step 4: Write the final answer

The angle measure in radians is: $$-\frac{1\pi}{15}$$ radians.