What is the general solution for tan(x)= 6/15 ?

The general solution for tan(x)= 6/15 is x=0.38050…+pin

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tan(x)= 6/15

tan (x) = \frac{6}{15}

x = 0.38050 \dots + πn

Degrees

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

Solution steps

tan (x) = \frac{6}{15}

Cancel the common factor:

3

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

2 cos^{3} (x) + cos^{2} (x) - 2 cos (x) - 1 = 0

3 tan (θ + 4 3^{\circ}) = 2 cos (θ + 4 3^{\circ})

2 sin (θ) cos (θ) + 2 cos (θ) = 0

3 tan (2 x) = 5

3 - 2 cos (θ) = 3 - 2 sin (θ)

What is the general solution for tan(x)= 6/15 ?
The general solution for tan(x)= 6/15 is x=0.38050…+pin