simplifier les exporesinions nuiveuntes: \( A=\cos ^{3} 40^{\circ}+\cos ^{2} 50^{\circ}+\tan 25^{\circ} \times \tan 65^{\circ} \) \( B=\cos ^{2} x \times \tan ^{2} x+\cos ^{2} x \)

\( \sin ^ { T } x + \frac { \sin ^ { T } x } { 1 - \sin ^ { T } x } = \tan ^ { T } x \)

5.2 Determine the following with the aid of a calculator 5.2.1 \( \quad \) the size of the angle \( \alpha \). 5.2.2 the area of the \( \triangle P O X \) if it given that \( \mathrm{X}(2 ; 0) \)

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

30. If \( x-a(\operatorname{cosec} \theta+\cot \theta) \) and \( y=\frac{b(1-\cos \theta)}{\sin \theta} \), then \( x y \)

\( \begin{array}{llll}\text { (B) } \frac{1}{\sqrt{2}} & \text { (B) } \sqrt{3} & \text { (C) } \frac{1}{\sqrt{3}} & \text { (D) } \sqrt{2}\end{array} \) यदि एक मीनार की ऊंचाई तथा छाया की लंबाई समान हो, तो सूर्य का उन्नयन कोण है \( \begin{array}{llll}\text { (अ) } 30^{\circ} & \text { (ब) } 60^{\circ} & \text { (स) } 45^{\circ} & \text { (द) } 15^{\circ}\end{array} \) If the height of a tower and length of its shadow are same, then the angle of elevati \( \begin{array}{llll}\text { (A) } 30^{\circ} & \text { (B) } 60^{\circ} & \text { (C) } 45^{\circ} & \text { (D) }\end{array} \)