The large positive angle β=920∘ is given below.
a. (i) Reduce β to its principal value lying between 0∘ and 360∘.
b. (ii) Identify the quadrant in which the terminal arm of β lies and determine the sign of each of sinβ, cosβ and tanβ.
c. (iii) Using your results, verify that sin2β+cos2β=1.