Question

Find the value of the trigonometric functions.

i) tan \(\frac{19 \pi}{3}\)

ii) \(sin (-\frac{11 \pi}{3})\)

iii) cot (-\(\frac{15 \pi} {4}\))

iv) sin \((\frac{31 \pi}{3})\)

Answer 1

i) tan \(\frac{19 \pi}{3}\) = tan \(\frac{18 \pi + \pi}{3}\)

 = tan (6\(\pi\) + \(\frac{\pi}{3}\)) = tan (\(\frac{\pi}{3}\)) = \(\sqrt{3}\)