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

The general solution for tan(x-1)=2 is x=1.10714…+pin+1

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tan(x-1)=2

tan (x - 1) = 2

x = 1.10714 \dots + πn + 1

Solution steps

tan (x - 1) = 2

Apply trig inverse properties

x - 1 = arctan (2) + πn

Solve

x - 1 = arctan (2) + πn : x = arctan (2) + πn + 1

x = arctan (2) + πn + 1

Show solutions in decimal form

x = 1.10714 \dots + πn + 1

5 sin^{2} (x) + 10 sin (x) + 2 = 0

tan (x) = \frac{5}{5.1}

\frac{sin ( x )}{120} = \frac{sin ( 6 0 ^{\circ} )}{300}

8 sin (θ) + 15 cos (θ) = 0

sin (t) = \frac{3}{7}

What is the general solution for tan(x-1)=2 ?
The general solution for tan(x-1)=2 is x=1.10714…+pin+1