1.3 If \( 13 \cos \theta-12=0 \) and \( \tan \theta \) is positive, using a sketch, determine the value of : 1.3.1 \( \sin \theta \) 1.3.2 \( -\sin ^{2} \theta-\cos ^{2} \theta \) 1.4 If \( 24 \tan A+7=0 \) and \( 180^{\circ} \leq A \leq 360^{\circ} \), determine the value of: \( 1.4 .1 \sin A \) \( 1.4 .2 \cos A \) \( 1.4 .3 \sin ^{2} A+\cos ^{2} A \)

إذا كان لديك مثلث قائم، حيث طول أحد الضلعين القائمين هو 8 وحدات وطول الوتر هو 12 وحدات، احسب قيمة الزاوية التي تقابل الضلع 8.

An aircraft flies 500 km on a bearing of \( 100^{\circ} \) and then 600 km on a bearing of \( 160^{\circ} \). Find the distance and bearing of the finishing point from the starting point.

An aircraft flies 500 km on a bearing of \( 100^{\circ} \) and then 600 km on a bearing of \( 160^{\circ} \). Find the distance and bearing of the finishing point from the starting point.

\( ( \sin \theta + \operatorname { cosec } \theta ) ^ { 2 } + ( \cos \theta + \sec \theta ) = \)

(b) \( \cos 2 x=1-3 \sin x \) (c) \( \tan \frac{x}{2}=\sin x \)