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

Question

5619 views around the world

You can reuse this answer
Creative Commons License

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#