What is the general solution for tan(x)= 4/10 ?

The general solution for tan(x)= 4/10 is x=0.38050…+pin

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tan(x)= 4/10

tan (x) = \frac{4}{10}

x = 0.38050 \dots + πn

Degrees

x = 21.80140 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{4}{10}

Cancel the common factor:

2

tan (x) = \frac{2}{5}

Apply trig inverse properties

tan (x) = \frac{2}{5}

General solutions for

tan (x) = \frac{2}{5}

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

x = arctan (\frac{2}{5}) + πn

x = arctan (\frac{2}{5}) + πn

Show solutions in decimal form

x = 0.38050 \dots + πn

1 - cos (x) + sin (x) - 1 = 0

3 tan (x^{3}) cot (x) 1 = 0

x, sin (\frac{y}{x}) + cos (\frac{x}{y}) = 0

sin (2 t) cos (t) = 0, 0 \leq t \leq π

2 sin^{3} (x) = sin^{3} (x)

What is the general solution for tan(x)= 4/10 ?
The general solution for tan(x)= 4/10 is x=0.38050…+pin