What is the general solution for tan(x)= 30/100 ?

The general solution for tan(x)= 30/100 is x=0.29145…+pin

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tan(x)= 30/100

tan (x) = \frac{30}{100}

x = 0.29145 \dots + πn

Degrees

x = 16.69924 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{30}{100}

Cancel the common factor:

10

tan (x) = \frac{3}{10}

Apply trig inverse properties

tan (x) = \frac{3}{10}

General solutions for

tan (x) = \frac{3}{10}

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

x = arctan (\frac{3}{10}) + πn

x = arctan (\frac{3}{10}) + πn

Show solutions in decimal form

x = 0.29145 \dots + πn

cos (θ) = - \frac{53}{8}

\frac{sin ( 15 0 ^{\circ} )}{500} = \frac{sin ( x )}{45}

sec (x) - tan (x) = 2

sin (\frac{2 π ( t + 101.75 )}{365}) = - 1

2 sin^{2} (θ) - 2 = cos^{2} (θ), 0 \leq θ \leq 2 π

What is the general solution for tan(x)= 30/100 ?
The general solution for tan(x)= 30/100 is x=0.29145…+pin