What is the general solution for 7tan(x)=3sqrt(3)+tan(x) ?

The general solution for 7tan(x)=3sqrt(3)+tan(x) is x=0.71372…+pin

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7tan(x)=3sqrt(3)+tan(x)

7 tan (x) = 33 + tan (x)

x = 0.71372 \dots + πn

Solution steps

7 tan (x) = 33 + tan (x)

Solve by substitution

tan (x) = \frac{3}{2}

tan (x) = \frac{3}{2} : x = arctan (\frac{3}{2}) + πn

Combine all the solutions

x = arctan (\frac{3}{2}) + πn

Show solutions in decimal form

x = 0.71372 \dots + πn

cos (2 x) = tan (2 x)

sin (\frac{θ}{2}) - 1 = 0

2 sin (4 x) + 3 = 0

7 sec (x) + 7 tan (x) = 7

sin (2 x) = - 2 sin (x)

What is the general solution for 7tan(x)=3sqrt(3)+tan(x) ?
The general solution for 7tan(x)=3sqrt(3)+tan(x) is x=0.71372…+pin