What is the general solution for -5tan(x)-12=tan(x)-8 ?

The general solution for -5tan(x)-12=tan(x)-8 is x=-0.58800…+pin

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-5tan(x)-12=tan(x)-8

- 5 tan (x) - 12 = tan (x) - 8

x = - 0.58800 \dots + πn

Solution steps

- 5 tan (x) - 12 = tan (x) - 8

Solve by substitution

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

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

Combine all the solutions

x = arctan (- \frac{2}{3}) + πn

Show solutions in decimal form

x = - 0.58800 \dots + πn

5 = sec^{2} (x) + 3

sin (θ) = \frac{24}{25}

sin (2 t) = cos (t)

cos (2 x) + 1 = cos (x)

4 cos (x) + 1 = 0

What is the general solution for -5tan(x)-12=tan(x)-8 ?
The general solution for -5tan(x)-12=tan(x)-8 is x=-0.58800…+pin