What is the general solution for tan(x)= 20/30 ?

The general solution for tan(x)= 20/30 is x=0.58800…+pin

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tan(x)= 20/30

tan (x) = \frac{20}{30}

x = 0.58800 \dots + πn

Degrees

x = 33.69006 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{20}{30}

Cancel the common factor:

10

tan (x) = \frac{2}{3}

Apply trig inverse properties

tan (x) = \frac{2}{3}

General solutions for

tan (x) = \frac{2}{3}

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

x = arctan (\frac{2}{3}) + πn

x = arctan (\frac{2}{3}) + πn

Show solutions in decimal form

x = 0.58800 \dots + πn

sin (x) = sin (2 7^{\circ})

cos (a) = \frac{12}{37}

120 sin (x - 12 0^{\circ}) = 120 sin (x - 24 0^{\circ})

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

- 8 cos (θ) = 43

What is the general solution for tan(x)= 20/30 ?
The general solution for tan(x)= 20/30 is x=0.58800…+pin