3. \[ \begin{array}{l} a=\cos 100^{\circ} \\ b=\sin 140^{\circ} \\ c=\cos 70^{\circ} \\ d=\tan 230^{\circ} \end{array} \] olduğuna göre, aşağıdaki sıralamalardan hangisi doğrudur? A) b \( > \) a \( > \) c \( > \) d B) \( b>c>d>a \) C) \( b>d>c>a \) D) \( d> \) c \( > \) b \( > \) a E) \( d>b>c>a \)

EXERCICE3: (5 points) 1. Résous dams R, requation \( 2 t^{2}+\sqrt{3} t-3=0 \) 2. Détermine les nombres réels \( A \) et \( B \) tels que pourt tout \( x \in \mathbb{R} \), on ait: \[ \sqrt{3} \cos x+\sin x=A \sin (x+B) \] 3. a. Utilise les résultats des questions 1. et 2. pour résoudre dans l'intervalle ] \( -\pi \); \( \pi \) ] léquation \( (E)=\left(2 \cos ^{2} x+\sqrt{3} \cos x-3\right)(\sqrt{3} \cos x+\sin x-\sqrt{3})=0 \) 4. Reprisente les images des solutions de (E) sur un cercle trigonométrique.

\( 0 / 1^{\star} \quad \begin{array}{l}\text { The general solution of the } \\ \text { equation : } \operatorname{Tan}(\Theta+20)=\operatorname{Cot}(3 \Theta \\ +30)\end{array} \)

(13) The range of function \( f(x)=4 \sin x \) where \( x \in[0, \pi]=\cdots \ldots \ldots \ldots \) \( \begin{array}{llll}\text { (a) }[0,4] & \text { (b) }[0,4[ & \text { (c) }[-4,0]\end{array} \begin{array}{l}\text { (d) }[-4,4]\end{array} \)

23) \( \theta \in\left[\pi, \frac{3 \pi}{2}\right] \) olmak üzere \( \sin \theta=-\frac{1}{2} \) ise \( \cos \theta \) ve \( \tan \theta \) değerleri aşağıdakilerden hangisidir? A) \( \cos \theta=-\frac{\sqrt{3}}{2}, \quad \tan \theta=\frac{1}{\sqrt{3}} \) B) \( \cos \theta=\frac{\sqrt{3}}{2}, \quad \tan \theta=-\frac{1}{\sqrt{3}} \) C) \( \cos \theta=-\frac{1}{\sqrt{3}}, \quad \tan \theta=\frac{\sqrt{3}}{2} \) D) \( \cos \theta=-\frac{\sqrt{3}}{2}, \quad \tan \theta=-\frac{1}{\sqrt{3}} \) E) \( \cos \theta=\frac{1}{\sqrt{3}}, \quad \tan \theta=\frac{\sqrt{3}}{2} \)

\( \sin 15+i \cos 15)^{2} \) equals to: \( \frac{\sqrt{3}+i}{2} \) \( \frac{1+\sqrt{3} i}{2} \)