A plane takes off at an angle of \( 11^{\circ} \) to the horizontal. If the plane maintains a speed of \( 270 \mathrm{~km} / \mathrm{h} \), what horizontal distance has it travelled after flying for 2 minutes?

A plane takes off at an angle of \( 11^{\circ} \) to the horizontal. If the plane maintains a speed of \( 270 \mathrm{~km} / \mathrm{h} \), what horizontal distance has it travelled after flying for 2 minutes?

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

The angle of elevation of the top of a house from a point on the horizomy line 60 m away from the foot of the house is \( 30^{\circ} \). Find the height of the house.

8. En la expresión \( \frac{\operatorname{sen} 1125^{\circ}-\cos 2940^{\circ}+\tan 1830^{\circ}}{\operatorname{sen} 1410^{\circ}} \) se pide a) Escribir cada función trigonométrica en función del ángulo de referencia b) Calcular su valor rea.

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