Answer the following questions : (Calculator is allowed) (1) Choose the correct answer from those given : \( \begin{array}{llll}\Delta \mathrm{ABC} \text { is a right-angled triangle at } B, \mathrm{~m}(\angle C)=30^{\circ}, A B=6 \mathrm{~cm} \\ \text {, then } A C= & \mathrm{cm} & \text { (b) } 6 & \text { (c) } 12\end{array} \) \( \begin{array}{lll}\text { (a) } 3 & \text { (b) } 9\end{array} \)

العبارة \( \frac{\sec \theta}{\tan \theta} \)

Use the statements below to find the size of angle \( x \). \[ \begin{array}{c}\text { Angle } x \text { is a multiple of } 12 . \\ \text { Angle } x \text { is acute. } \\ 2 \text { lots of angle } x \text { gives an obtuse angle. } \\ 3 \text { lots of angle } x \text { gives an obtuse angle. }\end{array} \]

2. realiza las gráficas de cada par de funciones en un mismo plano cartesiano. Luego, explica la transformación que se le aplica a la función original. \( \begin{array}{l}\text { a. } y=\operatorname{sen}(x+(\pi / 3)), y=\operatorname{sen} x-(\pi / 4) \\ \text { b. } y=\tan x+2, y=\tan x-2 \\ \text { c. } y=\cot (x+\pi), y=\cot (x+\pi)-1\end{array} \)

\( \sin ^ { 3 } ( 2 x + y ) \)

3. la función \( y=\csc x+2 \) no corta al eje \( x(~) \) 4. el rango de la función \( y=1-\sec x \) es \( [0,2](~) \) 5. el rango de la función \( y=-1+ \) sec x es \( (00,2] \cup[0,00)(~) \)