Question

Find sin(1530 degrees) and cos(30 degrees) and codes (-1485 degrees)

Answer 1

$$\begin{gathered} \left(1\right). \\ \sin \left(1530\right)=\sin \left(\frac{17\mathrm{\pi }}{2}\right)=\sin \left[8\mathrm{\pi }+\frac{\mathrm{\pi }}{2}\right]=\sin \left(\mathrm{\pi }/2\right)=1 \\ \left(2\right).\cos \left(-30\right)=\cos 30=\frac{\sqrt{3}}{2} \\ \left(3\right). \\ \mathrm{cosec}\left(1485\right)=\mathrm{cosec}\left(1440+45\right)=\mathrm{cosec}\left[8\mathrm{\pi }+\frac{\mathrm{\pi }}{4}\right]=\mathrm{cosec}\left(\frac{\mathrm{\pi }}{4}\right)=\sqrt{2} \end{gathered}$$