Exbsimplifier \( A=\cos ^{2} 35^{\circ}+\sin ^{2} 33^{\circ}+\sin ^{2} 35^{\circ}+\cos ^{2} 33^{\circ} \) \( B=\cos ^{2} 15^{\circ}+\cos ^{2} 75^{\circ}-21835^{\circ} \times 1 g 55^{\circ} \) \( C=\sin 25^{\circ}-\sin 65^{\circ}+\cos 25^{\circ}-\cos 65^{\circ} \)

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

a) \( \sin ^{4} x+\cos ^{2} x \cdot \sin ^{2} x-\sin ^{2} x \)

Given that \( \theta \) is an obtuse angle and \( \operatorname{cosec} \theta=k \), express, in terms of \( k \) (a) \( \cot \theta \)

The angle of depression from one mountain summit to another is \( 15.9^{\circ} \). If the two mountains differ in height by 430 metres, find the horizontal distance between the two summits, to the nearest centimetre.

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