In triangle \( A B C, m \angle A=55^{\circ}, m \angle B=30^{\circ} \), and \( a=8 \). Which equation should you solve to find \( b \) ? A. \( \frac{\cos 55^{\circ}}{8}=\frac{\cos 30^{\circ}}{b} \) B. \( \frac{\sin 55^{\circ}}{b}=\frac{\sin 30^{\circ}}{8} \) C. \( \frac{\sin 55^{\circ}}{8}=\frac{\sin 30^{\circ}}{b} \) D. \( b^{2}=8^{2}-2(8) b \cos 30^{\circ} \)

В треугольнике \( A B C \) угол \( C \) равен \( 90^{\circ}, \operatorname{tg} A=\frac{33}{4 \sqrt{33}}, A C=4 \). Найдите 1B.

(11) Find the exact value of \( \sin (2 x), \cos (2 x) \) and \( \tan (2 x) \) given the inforn tjon below. \( 81-4=77 \) \( \sin (x)=\frac{2}{9}, \frac{\pi}{2}<x<\pi \)

Verify the following: \[ (1-\cos (x))(\operatorname{cosec}(x)+\cot (x))=\sin (x) \]

En el triángulo rectángulo \( A B C \) de la siguiente imagen, se cumple que \( \cos \beta=\frac{1}{2} \).

35. Diketahui segitiga ABC siku-siku di \( \mathrm{B}, \mathrm{a}=8 \mathrm{~cm} \) dan \( \mathrm{c}=6 \mathrm{~cm} \), maka nilai \( \cos A=\cdots \) a. \( \frac{4}{3} \) b. \( \frac{4}{5} \) c. \( \frac{5}{3} \) d. \( \frac{3}{5} \) e. \( \frac{3}{4} \)