What is the general solution for 3tan(x)-3=0,0<= x<= 2pi ?

The general solution for 3tan(x)-3=0,0<= x<= 2pi is x= pi/4 ,x=(5pi)/4

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3tan(x)-3=0,0<= x<= 2pi

3 tan (x) - 3 = 0, 0 \leq x \leq 2 π

x = \frac{π}{4}, x = \frac{5 π}{4}

Degrees

x = 4 5^{\circ}, x = 22 5^{\circ}

Solution steps

3 tan (x) - 3 = 0, 0 \leq x \leq 2 π

Move

3

to the right side

3 tan (x) - 3 = 0

Add

3

to both sides

3 tan (x) - 3 + 3 = 0 + 3

Simplify

3 tan (x) = 3

3 tan (x) = 3

Divide both sides by

3

3 tan (x) = 3

Divide both sides by

3

\frac{3 tan ( x )}{3} = \frac{3}{3}

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

Solutions for the range

0 \leq x \leq 2 π

x = \frac{π}{4}, x = \frac{5 π}{4}

\frac{sin ( 57.2 2 ^{\circ} )}{31.5} = \frac{sin ( Q )}{24.4}

cosh (x) = 10

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

arctan (x) = 180

cos (θ) = \frac{2 2}{3}

What is the general solution for 3tan(x)-3=0,0<= x<= 2pi ?
The general solution for 3tan(x)-3=0,0<= x<= 2pi is x= pi/4 ,x=(5pi)/4