Question

State if the given pair of angles are coterminal.
i. $-{185}^{\circ },{535}^{\circ }$ ii. ${1000}^{\circ },{270}^{\circ }$ iii. $\frac{15\pi }{4},\frac{17\pi }{4}$

Answer 1

i) $-185=360-185=275535=535-360=275$
Are coterminal
ii) $1000=1000-2\times 360=280\ne 270$
Not coterminal
iii) $\frac{15\pi }{4}=2\pi -\frac{\pi }{4}=-\frac{\pi }{4}$
$\frac{17\pi }{4}=4\pi +\frac{\pi }{4}=\frac{\pi }{4}$
Are coterminal