1.2 Quadrilateral \( \mathrm{ABCD} \) is given below.
1.2.1 Show that \( A B / / D C \).
1.2.2 What type of quadrilateral is \( \mathrm{ABCD} \) (Show all calculations)
1.2.3 Calculate the value of \( \alpha \).
1.2.4 If \( \beta=56,31^{\circ} \), calculate angle \( \theta \).
QUESTION 2
2.1 Use trigonometric identities to prove that:
\[
\frac{\sin ^{3} x+\sin x \cdot \cos ^{2} x}{\cos x}=\tan x
\]
2.2 Determine the general solution of
\[
2 \sin x \cdot \cos x-\cos x=0
\]
