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

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

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

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

x = 0.92729 \dots + πn

Solution steps

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

Move

1

to the right side

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

Divide both sides by

- 1

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

Apply trig inverse properties

x = arctan (\frac{4}{3}) + πn

Show solutions in decimal form

x = 0.92729 \dots + πn

sin (\frac{x}{3}) = cos (\frac{x}{2})

cos (x) = \frac{cot ^{2} ( x )}{csc ^{2} ( x )}

2 tan^{2} (x) - 3 cot^{2} (x) = 5

x, 13 y = cos^{4} (1 - 2 x)

cos (x) + cos^{2} (x) + cos^{3} (x) = 0

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