How do you solve and find the value of $sin (arctan (\frac{\sqrt{3}}{3}))$ $sin(arctan(sqrt3/3))$ ?

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Answer 1 · 2018-03-19T05:08:38

$θ = n π + \frac{π}{6} a a a$ $color(red)(theta = n pi + pi/6 color(white)(aaa)$ $color(green)(n in ZZ$

Let $theta = arctan(sqrt3/3)$

$tan theta = tan (tan^-1 (sqrt3/3))$

$tan theta = sqrt3 / 3 = 1/ sqrt 3$

$theta = pi / 6 = 30^@$

Genaralozing,

$theta = n pi + pi/6 color(white)(aaa)$ $n in ZZ$

How do you solve and find the value of sin(arctan(sqrt3/3))sin(arctan(√33))sin(arctan(sqrt3/3))?