Question

Find the value of tan (19π/3)

Answer 1

$\frac{19 \times 22}{3 \times 7} = \frac{418}{21} = 19.90476$

Answer 2

tan 19π '/ 3

= tan. 6 1/ 3 π

= tan (.6π + 1 / 3 π)

= tan ( 3 (2π) + 1 / 3π )

$\bold{ Value. of. tan. x. repeats. after. an. interval. of. 2π hence ignoring. 3 * 2π }$

= tan 1 / 3π

= tan 1 / 3 * 180

= tan 60

= tan 60 √3

tan 60 = √3