What is the general solution for tan(x)= 2/8 ?

The general solution for tan(x)= 2/8 is x=0.24497…+pin

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tan(x)= 2/8

tan (x) = \frac{2}{8}

x = 0.24497 \dots + πn

Degrees

x = 14.03624 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{2}{8}

Cancel the common factor:

2

tan (x) = \frac{1}{4}

Apply trig inverse properties

tan (x) = \frac{1}{4}

General solutions for

tan (x) = \frac{1}{4}

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

x = arctan (\frac{1}{4}) + πn

x = arctan (\frac{1}{4}) + πn

Show solutions in decimal form

x = 0.24497 \dots + πn

sec^{2} (x) tan (x) = 2 tan (x)

y, arctan (y) + \frac{1}{2} (1 - t)^{2} = c

\frac{15 - 3}{3} = 5 - \frac{2}{3} \cdot csc (4 x + \frac{π}{2})

tan (x) + 4 sin (x) = 0

1 + 2 \cdot sin (x) = 2

What is the general solution for tan(x)= 2/8 ?
The general solution for tan(x)= 2/8 is x=0.24497…+pin