Owen Daniel
09/23/2023 · Primary School

Find the reference angle of the angle. \( \frac{11 \pi}{8} \)

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To find the reference angle of an angle, we need to find the acute angle that is formed by the terminal side of the angle and the x-axis. Given angle: \( \frac{11 \pi}{8} \) To find the reference angle, we can subtract the given angle from \( 2\pi \) and take the absolute value of the result. Reference angle = \( |2\pi - \frac{11\pi}{8}| \) Let's calculate the reference angle. Calculate the value by following steps: - step0: Calculate: \(\left|2\pi -\frac{11\pi }{8}\right|\) - step1: Calculate: \(\left|\frac{5\pi }{8}\right|\) - step2: Calculate the absolute value: \(\frac{5\pi }{8}\) The reference angle of the angle \( \frac{11 \pi}{8} \) is approximately \( 1.963495 \) radians or \( \frac{5\pi}{8} \) radians.

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The reference angle is approximately \( 1.963495 \) radians or \( \frac{5\pi}{8} \) radians.
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