Suppose that \( \pi \leq \theta \leq \frac{3 \pi}{2}, \tan (\theta)=2 / 11 \), find \( \sin (\theta)=\ldots \). (round to 3 decimal places) Your Answer.

8. El/los valor/res de x para el/ igualdad \( \quad 2 \cos (\boldsymbol{x})=3 \mathrm{tg} \) verdadera, considerando es/son: A. Sólo \( \frac{\pi}{6} \) B. \( \frac{\pi}{6} y \frac{5}{6} \pi \) únicamente C. \( \frac{7}{6} \pi y \frac{11}{6} \pi \) únicamente D. \( \frac{\pi}{6}, \frac{7}{6} \pi, \frac{5}{6} \pi y \frac{11}{6} \pi \) E. Ninguna respuesta anterior e

Question 1 (2 points) Suppose that \( \theta=\arcsin (1 / 7) \). What is \( \sin (2 \theta) \) ? (round to 4 decimals) Your Answer:

MATHS IN ACTION REVIEW 1. Louis is a firefighter. He regularly takes the helicopter to check for fires or to help people in difficulty. Today, he heads out from the base in a direction of \( 290^{\circ} \). Mark that heading on the diagram. In which direction is he heading (north, northeast, east, southeast, south, southwest, west, or northwest)?

8. \( m \angle \mathrm{~A}=30^{\circ}, m \angle \mathrm{C}=60^{\circ}, a=8 \) Find \( b \).

Using the Law of Sines to solve for all possible triangles if \( \angle B=92^{\circ}, a=102, b=50 \). If no answer exists, enter DNE for all answers. \( \angle A \) is \( D N E \) \( \angle C \) is \( D N E \) \( c=\square \) Assume \( \angle A \) is opposite side \( a, \angle B \) is opposite side \( b \), and \( \angle C \) is opposite side \( c \).