What is the general solution for tan(2x+60)=3sqrt(3) ?

The general solution for tan(2x+60)=3sqrt(3) is x=-30+(pin)/2+(1.38067…)/2

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tan(2x+60)=3sqrt(3)

tan (2 x + 60) = 33

x = - 30 + \frac{πn}{2} + \frac{1.38067 \dots}{2}

Solution steps

tan (2 x + 60) = 33

Apply trig inverse properties

2 x + 60 = arctan (33) + πn

Solve

2 x + 60 = arctan (33) + πn : x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

Show solutions in decimal form

x = - 30 + \frac{πn}{2} + \frac{1.38067 \dots}{2}

cos (\frac{π}{3} + x) = sin (3 0^{\circ} - x)

2 cos^{2} (x) + cos (x) = cos (2 x)

tan (x) - tan (\frac{π}{18}) = 1 + tan (x) tan (\frac{π}{18})

cos (θ) = \frac{2}{5}, cot (θ) < 0

θ, cos (θ) = \frac{2}{2}

What is the general solution for tan(2x+60)=3sqrt(3) ?
The general solution for tan(2x+60)=3sqrt(3) is x=-30+(pin)/2+(1.38067…)/2