What is the general solution for 1-2tan(x)=0 ?

The general solution for 1-2tan(x)=0 is x=0.46364…+pin

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1-2tan(x)=0

1 - 2 tan (x) = 0

x = 0.46364 \dots + πn

Degrees

x = 26.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

1 - 2 tan (x) = 0

Move

1

to the right side

1 - 2 tan (x) = 0

Subtract

1

from both sides

1 - 2 tan (x) - 1 = 0 - 1

Simplify

- 2 tan (x) = - 1

- 2 tan (x) = - 1

Divide both sides by

- 2

- 2 tan (x) = - 1

Divide both sides by

- 2

\frac{- 2 tan ( x )}{- 2} = \frac{- 1}{- 2}

Simplify

tan (x) = \frac{1}{2}

tan (x) = \frac{1}{2}

Apply trig inverse properties

tan (x) = \frac{1}{2}

General solutions for

tan (x) = \frac{1}{2}

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

x = arctan (\frac{1}{2}) + πn

x = arctan (\frac{1}{2}) + πn

Show solutions in decimal form

x = 0.46364 \dots + πn

sin (a) = 0.747

1 - tan^{2} (y) = 2 sec (y) - 4

2 sin^{2} (2 θ) + 5 sin (2 θ) = 3

3 cot (x) + 4 = 7

2 sin (4 θ) + 1 = 0

What is the general solution for 1-2tan(x)=0 ?
The general solution for 1-2tan(x)=0 is x=0.46364…+pin