Change to decimal degree equivalents. \( 13^{\circ} 39^{\prime} 41^{\prime \prime} \)

Nite the expression below in surd form and rationalize the denominator \[ \frac{1-\cos 60^{\circ}}{1+\operatorname{tim} 30^{\circ}} \]

Solve \( 8 \sin \left(\frac{\pi}{5} x\right)=4 \) for the four smallest positive solutions

Given that \( \tan 75^{\circ}=2+\sqrt{3} \) hence determine \( \tan 15^{\circ} \) leaving your answer in the form \( a+b \sqrt{c} \)

Solve \( \sin ^{2}(t)=-8 \cos (t) \) for all solutions \( 0 \leq t<2 \pi \)

NIVEL: INTERMEDIO 3) En un trángulo rectángulo, siendo " \( \alpha \) " un ángulo agudo se cumple que sen \( \alpha=\frac{5}{13} \) Calcular \( H=24 \) tana +3 . 4) Si tan \( \Phi=\frac{\sqrt{6}}{3} \), donde " \( \Phi \) " es un ángulo agudo, calcular