How do you solve $tan(2x + pi/3) = 1$ ?

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Answer 1 · 2015-05-21T16:07:45

Trig table gives

$tan (2x + pi/3) = 1 = tan (pi/4)$

Trig unit circle gives another arc that has same tan value;

$x = pi/4 + pi = (5pi)/4$

a. $(2x + pi/3) = pi/4 -> 2x = pi/4 - pi/3 = -pi/12 -> x = (-pi)/24$

b. $2x + (pi)/3 = (5pi)/4 -> 2x = (5pi)/4 - (pi/3) = (11pi)/12$

$x = (11pi)/24$

How do you solve tan(2x + pi/3) = 1tan(2x + pi/3) = 1?