Выясните, является ли ни нечётной функция \( f(x)=2 \sin 3 x \cdot \operatorname{ctg} 4 x \). Приведите доказательс

3ài 3. (1,0 diểm) Trên nóc ng - ten cao 5 m . Từ vị trí nặt dất, có thể nhìn thấy đỉr ng - ten dưới góc \( 50^{\circ} \mathrm{v} \) gang. Tính chiều cao của tc

1.7 Determine the value of \( \theta \), if \( \theta \in\left[0^{\circ} ; 90^{\circ}\right] \), correct to 3 decimal places : 1.7.1 \( 3 \cos \theta=1,203 \) \( 1.7 .2 \quad 5 \cos x+2=4 \) \( 1.7 .3 \quad \frac{4}{3} \sin \theta=\cos 37^{\circ} \) \( 1.7 .4 \quad \tan 3 \theta=6,345 \) \( 1.7 .5 \quad \frac{\tan \theta}{2}=2,5 \) \( 1.7 .6 \quad 2 \sin \left(\theta+15^{\circ}\right)=1,462 \)

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: \( 1.4 .1 \sin A \) \( 1.4 .2 \cos A \) \( 1.4 .3 \sin ^{2} A+\cos ^{2} A \)

Without calculating the ratios below, state whether the unknown will be larger or smaller than the one given. ( 3 marks: 1 mark each) \( \begin{array}{lll}\text { a. } \frac{\operatorname{Sin} 17}{a}=\frac{\operatorname{Sin} 76}{7.2} & \text { b. } \frac{\operatorname{Sin} 54}{12.5}=\frac{\operatorname{Sin} 23}{y} & \text { c. } \frac{\operatorname{Sin} 37}{6.1}=\frac{\operatorname{Sin} A}{3.8}\end{array} \)

7. \( \frac{2 \cos x-5 \sin x}{3 \sin x-4 \cos x}=\frac{2}{3} \) ise \( \tan x \) in değeri kaçtır?