7. \( \sin ^{2} A+\sin ^{2} B-\sin ^{2} C=2 \sin A \sin B \cos C \)

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

6. Vertetoni identitetin \( \operatorname{tg} x+\frac{1}{\operatorname{tg} x}=\frac{1}{\sin x \cdot \cos x} \)

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 \( I \).

7. \( \sin ^{2} A+\sin ^{2} B-\sin ^{2} C=2 \sin A \sin B \cos C \)

(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.