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

The general solution for 1-tan(a)=(-1)/3 is a=0.92729…+pin

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1-tan(a)=(-1)/3

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

a = 0.92729 \dots + πn

Solution steps

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

Move

1

to the right side

- tan (a) = - \frac{4}{3}

Divide both sides by

- 1

tan (a) = \frac{4}{3}

Apply trig inverse properties

a = arctan (\frac{4}{3}) + πn

Show solutions in decimal form

a = 0.92729 \dots + πn

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

cot^{3} (x) + cot (x) = 0

21 + 18 cos (x) = 16 (1 - cos^{2} (x))

sin (2 a + 10) = cos (3 a - 20)

b = \frac{3}{( cot ( x ) )}

What is the general solution for 1-tan(a)=(-1)/3 ?
The general solution for 1-tan(a)=(-1)/3 is a=0.92729…+pin