What is the general solution for solvefor a,tan(a)= 1/3 ?

The general solution for solvefor a,tan(a)= 1/3 is a=0.32175…+pin

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Solve for a in Degrees tan(a)=1/3

solve for

a, tan (a) = \frac{1}{3}

a = 0.32175 \dots + πn

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

a = arctan (\frac{1}{3}) + πn

a = arctan (\frac{1}{3}) + πn

Show solutions in decimal form

a = 0.32175 \dots + πn

cos (\frac{( 4 π )}{3})

cos (\frac{( 3 π )}{4})

sec (\frac{( 5 π )}{6})

tan (θ) = \frac{- 4}{5}

sec (\frac{( 5 π )}{3})

What is the general solution for solvefor a,tan(a)= 1/3 ?
The general solution for solvefor a,tan(a)= 1/3 is a=0.32175…+pin