Question

question 1
convert the angle in radians to degrees.
-\frac{5\pi}{4}
question help: video message instructor
submit question

Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi} \).
For \( -\frac{5\pi}{4} \) radians, the conversion is \( -\frac{5\pi}{4}\times\frac{180^{\circ}}{\pi} \).

Step2: Simplify the expression

Cancel out the \( \pi \) terms: \( -\frac{5}{4}\times180^{\circ} \).
Calculate \( \frac{5\times180^{\circ}}{4}= 225^{\circ} \).
So, \( -\frac{5}{4}\times180^{\circ}=- 225^{\circ} \).

Answer:

\(-225^{\circ}\)