\( \left. \begin{array} { l }{ \sin ( 4 \beta ) \cos ( \beta ) + \cos ( 4 \beta ) \sin ( \beta ) = - 0,5 } \\ { \therefore \sin ( 5 \beta ) = - 0,5 } \end{array} \right. \)

Simplify the following expressions \( 6.1 \quad \frac{\sin 210^{\circ} \cos 300^{\circ} \tan 240^{\circ}}{\cos 120^{\circ} \tan 150^{\circ} \sin 330^{\circ}}\left[\begin{array}{l}{[\sin (-\theta)+\cos (360-\theta)]}\end{array}\right. \) If \( \tan x=m+\frac{1}{m}, 90^{\circ} \leq \) Calculate the value of \( x \)

What is the definition of the tangent function in relation to a right triangle?

1) \( A=\cos ^{2} 40^{\circ}+\cos ^{2} 50^{\circ}+\tan 250 \times \cos 65^{\circ} \) 2) \( B=\cos ^{2} x \times \tan ^{2} x+\cos ^{2} s x \)

COMPLETA a. Se \( \alpha=\frac{\pi}{2} \rightarrow \cos \alpha=4 \) e \( \sin \alpha=0 \). b. \( \operatorname{se} \alpha=-\frac{\pi}{2} \rightarrow \cos \alpha=\square \) e \( \sin \alpha=\square \)

\( \cos ^ { 2 } 40 ^ { \circ } + \cos 50 ^ { \circ } + \tan 25 ^ { \circ } \times \operatorname { san } 65 ^ { \circ } \)