1. If the circular (radian) measure of an angle is \( \frac{7\pi}{12} \), what is its value in the sexagesimal (degree) system?

(a) 90° (b) 105° (c) 135° (d) 160°

2. In a right-angled triangle, if the difference between the two acute angles is \(\cfrac{2\pi}{5}\), then write the values of those two angles in sexagesimal (degree-minute-second) system.

3. If \(sin θ = cos θ\), then the value of \(2θ\) is—?

(a) 30° (b) 60° (c) 45° (d) 90°

4. If \(sinθ−cosθ=0,\) \( (0°<θ<90°)\) and \(secθ+cosecθ=x\), then the value of \(x\) is—?

(a) \(1\) (b) \(2\) (c) \(\sqrt2\) (d) \(2\sqrt2\)

5. In a right-angled triangle, if one of the acute angles is 30°, determine the measure of the other acute angle in sexagesimal system.

6. A rotating ray turns counterclockwise from a certain position, completing two full revolutions and then an additional angle of \(30^\circ\). Calculate and write the angle in trigonometric measurement in both sexagesimal (degree) and circular (radian) systems.

7. In a triangle, one angle measures \(65^\circ\) and the second angle measures \(\cfrac{\pi}{12}\); calculate and write the measure of the third angle in both sexagesimal (degree-minute-second) and radian systems.

8. If the sum of two angles is 135° and their difference is \(\cfrac{\pi}{12}\), then calculate and write the measures of the two angles in both sexagesimal (degree-minute-second) and radian systems.