What is the general solution for tan(x)+5=(15-sqrt(3))/3 ?

The general solution for tan(x)+5=(15-sqrt(3))/3 is x=-0.52359…+pin

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tan(x)+5=(15-sqrt(3))/3

tan (x) + 5 = \frac{15 - 3}{3}

x = - 0.52359 \dots + πn

Degrees

x = - 3 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) + 5 = \frac{15 - 3}{3}

Move

5

to the right side

tan (x) + 5 = \frac{15 - 3}{3}

Subtract

5

from both sides

tan (x) + 5 - 5 = \frac{15 - 3}{3} - 5

Simplify

tan (x) = \frac{15 - 3}{3} - 5

tan (x) = \frac{15 - 3}{3} - 5

Apply trig inverse properties

tan (x) = \frac{15 - 3}{3} - 5

General solutions for

tan (x) = \frac{15 - 3}{3} - 5

tan (x) = - a \Rightarrow x = arctan (- a) + πn

x = arctan (\frac{15 - 3}{3} - 5) + πn

x = arctan (\frac{15 - 3}{3} - 5) + πn

Show solutions in decimal form

x = - 0.52359 \dots + πn

5 cos^{2} (x) - cos (x) - sin^{2} (x) = 0

tan (x) csc (x) - 2 tan (x) = 3 csc (x) - 6

x, sin (x) = ln (y)

10 = 7 cos ((\frac{π}{6}) (t + 6)) + 8

csc (t) = 2

What is the general solution for tan(x)+5=(15-sqrt(3))/3 ?
The general solution for tan(x)+5=(15-sqrt(3))/3 is x=-0.52359…+pin