Find sin⁻¹(sin2π/3) and cos⁻¹(cos7π/6) in radians.

Step 1. The first value. $\dfrac{2\pi}{3}$ is between $\dfrac{\pi}{2}$ and $\dfrac{3\pi}{2}$, so the result is $\pi - \dfrac{2\pi}{3} = \dfrac{\pi}{3} = 1.0472$.

Step 2. The second value. $\dfrac{7\pi}{6}$ is between $\pi$ and $2\pi$, so the result is $2\pi - \dfrac{7\pi}{6} = \dfrac{5\pi}{6} = 2.618$.