What is the general solution for tan(x)= 5/15 ?

The general solution for tan(x)= 5/15 is x=0.32175…+pin

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tan(x)= 5/15

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

x = 0.32175 \dots + πn

Degrees

x = 18.43494 \dots^{\circ} + 18 0^{\circ} n

Solution steps

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

Cancel the common factor:

5

tan (x) = \frac{1}{3}

Apply trig inverse properties

tan (x) = \frac{1}{3}

General solutions for

tan (x) = \frac{1}{3}

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

x = arctan (\frac{1}{3}) + πn

x = arctan (\frac{1}{3}) + πn

Show solutions in decimal form

x = 0.32175 \dots + πn

2 sin (x + \frac{π}{9}) = - 1

1 + cos (a) = \frac{3 + 4 cos ( a )}{2}

3 cos (x) - 2 cos^{2} (x) = 0, 0^{\circ} < x < 36 0^{\circ}

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

5 sin (θ) - 3 = 3 sin (θ)

What is the general solution for tan(x)= 5/15 ?
The general solution for tan(x)= 5/15 is x=0.32175…+pin