which equation can be used to determine the reference angle, $r$, if $\theta = \frac{7pi}{12}$?\n$r =…

which equation can be used to determine the reference angle, $r$, if $\theta = \frac{7pi}{12}$?\n$r = \theta$\n$r=pi - \theta$\n$r=\theta-pi$\n$r = 2pi-\theta$

which equation can be used to determine the reference angle, $r$, if $\theta = \frac{7pi}{12}$?\n$r = \theta$\n$r=pi - \theta$\n$r=\theta-pi$\n$r = 2pi-\theta$

Answer

Explanation:

Step1: Determine the quadrant of $\theta$

Since $\frac{\pi}{2}<\frac{7\pi}{12}<\pi$, $\theta=\frac{7\pi}{12}$ is in the second - quadrant.

Step2: Recall the formula for reference angle in the second - quadrant

For an angle $\theta$ in the second - quadrant, the reference angle $r$ is given by $r = \pi-\theta$.

Answer:

$r=\pi - \theta$ (the second option)