SOLUTION: Can you please help me with the following problem,
the following equation involves multiple angles. solve the equation on the interval [0,2pi) tan x/2=-sqrt 3/3
Work I have done:
Question 1012326: Can you please help me with the following problem,
the following equation involves multiple angles. solve the equation on the interval [0,2pi) tan x/2=-sqrt 3/3
Work I have done:
tan=-sqrt 3/3 = 5pi/6,11pi/6
x/2=5pi/6+2kpi, x/2=11pi/6+2kpi Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website! .
solve the equation on the interval [0,2pi): tan x/2=-sqrt 3/3
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= - ----->
= or/and = .
If = , then x = . It is one solution.
If = , then x = . It is greater than , and you need to reduce it to the reference angle, which is .
Thus the problem has a unique solution x = .