What is the general solution for 5tan(x)=5sqrt(3) ?

The general solution for 5tan(x)=5sqrt(3) is x= pi/3+pin

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5tan(x)=5sqrt(3)

5 tan (x) = 53

x = \frac{π}{3} + πn

Degrees

x = 6 0^{\circ} + 18 0^{\circ} n

Solution steps

5 tan (x) = 53

Divide both sides by

5

5 tan (x) = 53

Divide both sides by

5

\frac{5 tan ( x )}{5} = \frac{5 3}{5}

Simplify

tan (x) = 3

tan (x) = 3

General solutions for

tan (x) = 3

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}{3} + πn

x = \frac{π}{3} + πn

9 cos^{2} (x) - 18 cos (x) + 9 = 0

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

sin (a) = - \frac{5}{13}

sin^{2} (x) = \frac{( 8 m - 2 )}{9}

0.06 = 0.1 (cos (4 (t) - 1.57))

What is the general solution for 5tan(x)=5sqrt(3) ?
The general solution for 5tan(x)=5sqrt(3) is x= pi/3+pin