Найдите область опред \( f(x)=-3 \sin 2 x+1 \)

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

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

In terms of the sides of a right triangle, how would you express \( \tan(\theta) \)?

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

1.8 Simplify without using a calculator : \( \begin{array}{l}1.8 .1 \quad \tan ^{2} 30^{\circ}-\cos 60^{\circ} \\ 1.8 .2 \quad \frac{5}{\sqrt{3}} \sin 60^{\circ} \\ 1.8 .3 \quad \frac{\sin 45^{\circ} \cdot \tan ^{2} 60^{\circ}}{\cos 45^{\circ}}\end{array} \)