Question

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Answer 1

Answer on Question #83357 – Math – Trigonometry

Question

What degree measure is equivalent to $-4\pi/9$?

Solution

The $\pi$ radians equal $180{}^{\circ}$, so $4 \times \pi = 720{}^{\circ}$. Then $720{}^{\circ} / 9 = 80{}^{\circ}$. But we had the minus sign before this expression, so we need to consider the angle in the opposite direction, this means that we need to subtract $80{}^{\circ}$ from the full angle $360{}^{\circ}$. The degree measure is $360{}^{\circ} - 80{}^{\circ} = 280{}^{\circ}$.

Answer: $280{}^{\circ}$

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