What is the general solution for tan(2x+1)= 1/2 ?

The general solution for tan(2x+1)= 1/2 is x=(0.46364…)/2+(pin)/2-1/2

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tan(2x+1)= 1/2

tan (2 x + 1) = \frac{1}{2}

x = \frac{0.46364 \dots}{2} + \frac{πn}{2} - \frac{1}{2}

Solution steps

tan (2 x + 1) = \frac{1}{2}

Apply trig inverse properties

2 x + 1 = arctan (\frac{1}{2}) + πn

Solve

2 x + 1 = arctan (\frac{1}{2}) + πn : x = \frac{arctan ( \frac{1}{2} )}{2} + \frac{πn}{2} - \frac{1}{2}

x = \frac{arctan ( \frac{1}{2} )}{2} + \frac{πn}{2} - \frac{1}{2}

Show solutions in decimal form

x = \frac{0.46364 \dots}{2} + \frac{πn}{2} - \frac{1}{2}

cos (B) = \frac{8}{12}

sin (t) = \frac{1}{2}, 0 \leq t < \frac{π}{2}

tan (θ) = 1.4

sin (θ) = - 0.8062

25 cot^{2} (x) - 1 = 0

What is the general solution for tan(2x+1)= 1/2 ?
The general solution for tan(2x+1)= 1/2 is x=(0.46364…)/2+(pin)/2-1/2