Question

Find the reference angle $\theta {}^{\prime }$ for the following angles in standrad position.
i. $\theta ={300}^{\circ }$

ii. $\theta =2.3$

iii. $\theta =-{135}^{\circ }$

Answer 1

i) $\theta =300=\frac{\pi }{180}\times 300=\frac{5\pi }{3}$
ii) $\theta =2.3=\frac{\pi }{180}\times 2.3=\frac{23\pi }{180}$
iii) $\theta =-135=360-135=225=\frac{\pi }{180}\times 225=\frac{13\pi }{12}$