What is the general solution for 5tan(x)-4=0 ?

The general solution for 5tan(x)-4=0 is x=0.67474…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5tan(x)-4=0

5 tan (x) - 4 = 0

x = 0.67474 \dots + πn

Degrees

x = 38.65980 \dots^{\circ} + 18 0^{\circ} n

Solution steps

5 tan (x) - 4 = 0

Move

4

to the right side

5 tan (x) - 4 = 0

Add

4

to both sides

5 tan (x) - 4 + 4 = 0 + 4

Simplify

5 tan (x) = 4

5 tan (x) = 4

Divide both sides by

5

5 tan (x) = 4

Divide both sides by

5

\frac{5 tan ( x )}{5} = \frac{4}{5}

Simplify

tan (x) = \frac{4}{5}

tan (x) = \frac{4}{5}

Apply trig inverse properties

tan (x) = \frac{4}{5}

General solutions for

tan (x) = \frac{4}{5}

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

x = arctan (\frac{4}{5}) + πn

x = arctan (\frac{4}{5}) + πn

Show solutions in decimal form

x = 0.67474 \dots + πn

4 sin (x) = - cos^{2} (x) + 1, 0 \leq x \leq 2 π

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

csc^{2} (x) + 3 csc (x) - 4 = 0

2 sin (θ) = - 3, 0 \leq θ < 2 π

cos^{2} (φ) = sin^{2} (φ)

What is the general solution for 5tan(x)-4=0 ?
The general solution for 5tan(x)-4=0 is x=0.67474…+pin