\( \begin{array}{ll}\text { 1) } \cos \left(\alpha^{\circ}+70^{\circ}\right) ; & \text { 9) } \sin \left(\varphi-\frac{\pi}{2}\right) ; \\ \text { 2) } \cos \left(20^{\circ}+\beta^{\circ}\right) ; & \text { 10) } \sin \left(\frac{3 \pi}{2}-\beta\right) ; \\ \text { 3) } \cos \left(\alpha+\frac{\pi}{3}\right) ; & \text { 11) } \cos \left(\varphi-\frac{3 \pi}{2}\right) ; \\ \text { 4) } \cos \left(\frac{\pi}{3}-\beta\right) ; & \text { 12) } \cos \left(\frac{5 \pi}{4}+\beta\right) ; \\ \text { 5) } \cos \left(\frac{\pi}{4}+\gamma\right) ; & \text { 13) } \cos (\alpha+\alpha) ; \\ \text { 6) } \cos \left(\beta-\frac{\pi}{2}\right) ; & \text { 14) } \cos \left(\alpha-\frac{\pi}{6}\right) \\ \text { 7) } \sin \left(\alpha+\frac{\pi}{4}\right) ; & \text { 15) } \sin \left(\beta+\frac{\pi}{3}\right) \\ \text { 8) } \sin \left(\frac{3 \pi}{4}+\alpha\right) ; & \text { 16) } \sin \left(\varphi+\frac{3 \pi}{2}\right)\end{array} \)

If you know one angle of a right triangle is 50 degrees, can you determine the measure of the missing angle? If so, what is it?

\( \begin{array}{llll}\text { (B) } \frac{1}{\sqrt{2}} & \text { (B) } \sqrt{3} & \text { (C) } \frac{1}{\sqrt{3}} & \text { (D) } \sqrt{2}\end{array} \) 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 \( \begin{array}{llll}\text { (A) } 30^{\circ} & \text { (B) } 60^{\circ} & \text { (C) } 45^{\circ} & \text { (D) }\end{array} \)

If \( \tan \frac{a}{b}=1 \), then \( \tan \frac{2 a}{3 b}=\ldots \ldots \ldots \ldots \) \( \begin{array}{llll}\text { (a) } \frac{1}{2} & \text { (b) } \frac{1}{\sqrt{3}} & \text { (c) } \frac{2}{3} & \text { (d) } \sqrt{3}\end{array} \)

Si el seno de un ángulo es \( \frac{3}{5} \), ¿cuál es el valor de su cosecante?

यदि \( \sin \mathrm{A}=\frac{3}{4} \), तो \( \tan \mathrm{A} \) का मान ज्ञात करो। If \( \sin \mathrm{A}=\frac{3}{4} \), then find the value of \( \tan \mathrm{A} \).