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

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

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2tan(x)=2

2 tan (x) = 2

x = \frac{π}{4} + πn

Degrees

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

Solution steps

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

43 cos (x) - 8 sin (x) cos (x) = 0

sin (x + \frac{π}{4}) = 2 cos (x)

5 cos (2 x) - cos (x) + 3 = 0

cos (x) - 2 = - 8 + 5

sin (2 x - 1) = \frac{3}{2}

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