What is the general solution for 2tan(x)-3=0 ?

The general solution for 2tan(x)-3=0 is x=0.98279…+pin

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2tan(x)-3=0

2 tan (x) - 3 = 0

x = 0.98279 \dots + πn

Degrees

x = 56.30993 \dots^{\circ} + 18 0^{\circ} n

Solution steps

2 tan (x) - 3 = 0

Move

3

to the right side

2 tan (x) - 3 = 0

Add

3

to both sides

2 tan (x) - 3 + 3 = 0 + 3

Simplify

2 tan (x) = 3

2 tan (x) = 3

Divide both sides by

2

2 tan (x) = 3

Divide both sides by

2

\frac{2 tan ( x )}{2} = \frac{3}{2}

Simplify

tan (x) = \frac{3}{2}

tan (x) = \frac{3}{2}

Apply trig inverse properties

tan (x) = \frac{3}{2}

General solutions for

tan (x) = \frac{3}{2}

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

x = arctan (\frac{3}{2}) + πn

x = arctan (\frac{3}{2}) + πn

Show solutions in decimal form

x = 0.98279 \dots + πn

- 2 cos (2 x - \frac{π}{3}) = 2 sin (2 x - \frac{π}{6})

tan (x) = 5 sin (\frac{π}{4}) sin (\frac{3 π}{4})

cot (θ) = - \frac{12}{5}

2 - 23 tan (x + \frac{π}{3}) = 0

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

What is the general solution for 2tan(x)-3=0 ?
The general solution for 2tan(x)-3=0 is x=0.98279…+pin