What is the general solution for -2tan(x)+6=8 ?

The general solution for -2tan(x)+6=8 is x=(3pi)/4+pin

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-2tan(x)+6=8

- 2 tan (x) + 6 = 8

x = \frac{3 π}{4} + πn

Degrees

x = 13 5^{\circ} + 18 0^{\circ} n

Solution steps

- 2 tan (x) + 6 = 8

Move

6

to the right side

- 2 tan (x) + 6 = 8

Subtract

6

from both sides

- 2 tan (x) + 6 - 6 = 8 - 6

Simplify

- 2 tan (x) = 2

- 2 tan (x) = 2

Divide both sides by

- 2

- 2 tan (x) = 2

Divide both sides by

- 2

\frac{- 2 tan ( x )}{- 2} = \frac{2}{- 2}

Simplify

tan (x) = - 1

tan (x) = - 1

General solutions for

tan (x) = - 1

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x = \frac{3 π}{4} + πn

x = \frac{3 π}{4} + πn

2 sin (x) = 1.564

sin (x) = 0.08

sin (x) = 0.05

sin (x) = 0.21

sin (x) = \frac{16}{39}

What is the general solution for -2tan(x)+6=8 ?
The general solution for -2tan(x)+6=8 is x=(3pi)/4+pin