What is the general solution for 2tan(x)-2=0 ?

The general solution for 2tan(x)-2=0 is x= pi/4+pin

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2tan(x)-2=0

2 tan (x) - 2 = 0

x = \frac{π}{4} + πn

Degrees

x = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

2 tan (x) - 2 = 0

Move

2

to the right side

2 tan (x) - 2 = 0

Add

2

to both sides

2 tan (x) - 2 + 2 = 0 + 2

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{π}{4} + πn

x = \frac{π}{4} + πn

sin (2 x) + 2 sin (x) = 0

sin (x) - 6 sin^{2} (x) + 1 = 0

cos (x) = 2 sin^{2} (x) - 1

sec^{2} (x) = 9

4 cos^{2} (x) - 3 = 0, 0 \leq x < 2 π

What is the general solution for 2tan(x)-2=0 ?
The general solution for 2tan(x)-2=0 is x= pi/4+pin