EJerCICIOS EXPIICatIVOS Simplifique la siguiente expresión: \( \sec \alpha \cdot \operatorname{sen} \alpha \)

1) In a right triangle with one angle measuring 40 degrees, the leg opposite the 40 degree angle is 5 cm . What is the length of the hypotenuse?

Find the product. Leave the result in trigonometric form. (Enter your an \[ \left[\frac{1}{3}\left(\cos \left(140^{\circ}\right)+i \sin \left(140^{\circ}\right)\right)\right]\left[\frac{4}{5}\left(\cos \left(240^{\circ}\right)+i \sin \left(240^{\circ}\right)\right)\right] \]

6) \( \frac{1-\cos 2 \alpha}{\sin 2 \alpha} \)

\( \cos ( \alpha - \beta ) = \cos ( \alpha ) - \cos ( \beta ) ( \pi ) \)

\( 1 - \sin 3 x = ( \sin \frac { x } { 2 } - \cos \frac { x } { 2 } ) ^ { 2 } \)