If \( \cos (\theta)=-\frac{2}{7} \), and \( \theta \) is in quadrant III, then find and \( \theta \) is in quadrant III, then find *REDUCE and RATIONALIZE your fractions. (a) \( \sin (\theta)= \) (b) \( \tan (\theta)= \) (c) \( \sec (\theta)= \) (d) \( \csc (\theta)= \) (e) \( \cot (\theta)= \)

49. Hisoblang: \( 8 \cos \frac{\pi}{7} \cdot \cos \frac{4 \pi}{7} \cdot \cos \frac{5 \pi}{7} \) A) -1 B) 4 C) 1 D) 2

Law of Sines Score: \( 11 / 25 \quad \) Penalty: 1 off Question In \( \Delta \mathrm{TUV}, u=3.4 \) inches, \( m \angle \mathrm{U}=144^{\circ} \) and \( m \angle \mathrm{~V}=35^{\circ} \). Find the length of \( v \), to the nearest 10 oth of an inch Answer Attempt 1 out of 2

\( \sin ^ { 2 } ( \alpha + \beta ) - \sin ^ { 2 } \alpha - \sin ^ { 2 } \beta \)

(Uchburchakni berilgan ikki tomoni va ular orasidagi burchagi bo'yicha yechish). Agar uchburchakda \( a=6, b=4 \quad \gamma=120 \) bo'lsa, uning uchunchi tomon va qolgan burchaklarini toping.

22. Find the exact value of \( \sin (A+B) \), given \( \sin A=-\frac{4}{5}, A \) is in Quadrant \( I I I, \tan B=\frac{15}{17} \) and \( B \) is in Quadrant \( I \).