What is the general solution for tan(x)= 3/9 ?

The general solution for tan(x)= 3/9 is x=0.32175…+pin

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tan(x)= 3/9

tan (x) = \frac{3}{9}

x = 0.32175 \dots + πn

Degrees

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

Solution steps

tan (x) = \frac{3}{9}

Cancel the common factor:

3

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 cos (x) = 3 cot (x)

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

1 = cos^{3} (x)

sin (θ) = \frac{150 N}{212.6 N} (0.9063)

3 sin (x) + 4 = 5 cos (x), [0.2 π]

What is the general solution for tan(x)= 3/9 ?
The general solution for tan(x)= 3/9 is x=0.32175…+pin