What is the general solution for -2tan(a)+2=4tan(a)+6 ?

The general solution for -2tan(a)+2=4tan(a)+6 is a=-0.58800…+pin

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-2tan(a)+2=4tan(a)+6

- 2 tan (a) + 2 = 4 tan (a) + 6

a = - 0.58800 \dots + πn

Solution steps

- 2 tan (a) + 2 = 4 tan (a) + 6

Solve by substitution

tan (a) = - \frac{2}{3}

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

Combine all the solutions

a = arctan (- \frac{2}{3}) + πn

Show solutions in decimal form

a = - 0.58800 \dots + πn

4 cos (x) sin (x) - sin (x) = 0

3 sin (θ) = 3 cos (θ)

arcsin (x) = \frac{7 π}{8}

6 sin (θ) - 3 csc (θ) = 0

tan (x) = 1

What is the general solution for -2tan(a)+2=4tan(a)+6 ?
The general solution for -2tan(a)+2=4tan(a)+6 is a=-0.58800…+pin