To convert an angle in degree measure to radian measure, multiply by a factor of 180°. IT True False

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section8.3: Products And Quotients In Trigonometric Form
Problem 47PS: Divide. Leave your answers in trigonometric form. 4cis28cis6
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**Converting Degrees to Radians**

In trigonometry and calculus, converting an angle from degree measure to radian measure is a common operation. 

**Question:**

To convert an angle in degree measure to radian measure, multiply by a factor of \(\frac{180^\circ}{\pi}\).

- Option 1: \( \bigcirc \) True
- Option 2: \( \bigcirc \) False

**Explanation:**

To convert an angle in degrees to radians, you multiply the degree measure by \(\frac{\pi}{180^\circ}\) instead. Therefore, the statement given in the question is **False**. 

The correct conversion formula is:
\[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180^\circ} \]
Transcribed Image Text:**Converting Degrees to Radians** In trigonometry and calculus, converting an angle from degree measure to radian measure is a common operation. **Question:** To convert an angle in degree measure to radian measure, multiply by a factor of \(\frac{180^\circ}{\pi}\). - Option 1: \( \bigcirc \) True - Option 2: \( \bigcirc \) False **Explanation:** To convert an angle in degrees to radians, you multiply the degree measure by \(\frac{\pi}{180^\circ}\) instead. Therefore, the statement given in the question is **False**. The correct conversion formula is: \[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180^\circ} \]
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