What is the general solution for tan(θ/2+pi/3)=-1 ?

The general solution for tan(θ/2+pi/3)=-1 is θ=2pin+(5pi)/6

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tan(θ/2+pi/3)=-1

tan (\frac{θ}{2} + \frac{π}{3}) = - 1

θ = 2 πn + \frac{5 π}{6}

Solution steps

tan (\frac{θ}{2} + \frac{π}{3}) = - 1

General solutions for

tan (\frac{θ}{2} + \frac{π}{3}) = - 1

\frac{θ}{2} + \frac{π}{3} = \frac{3 π}{4} + πn

Solve

\frac{θ}{2} + \frac{π}{3} = \frac{3 π}{4} + πn : θ = 2 πn + \frac{5 π}{6}

θ = 2 πn + \frac{5 π}{6}

sin (2 x) = 3 cos (2 x)

sec (x) = - 2, 0 \leq x \leq 2 π

t, g = sin (2 π f t)

3 sin (x) - cos (x) = - 3

- 8 sin (8 x) = 0

What is the general solution for tan(θ/2+pi/3)=-1 ?
The general solution for tan(θ/2+pi/3)=-1 is θ=2pin+(5pi)/6