Question

Find the value of the following trigonometric ratio:
sin 17π

Answer 1

We have: 
\[\sin 17\pi = \sin 3060^\circ\]
\[3060^\circ = 90^\circ \times 34 + 0^\circ\]
\[\text{ Clearly 3060^\circ is in the negative direction of the x - axis, i . e . on the boundary line of the II and III quadrants .} \]
Also, 34 is an even integer.
\[ \therefore \sin\left( 3060^\circ \right) = \sin \left( 90^\circ \times 34 + 0^\circ \right) = - \sin 0^\circ = 0\]