What is the general solution for tan(2x)= 1/4 ?

The general solution for tan(2x)= 1/4 is x=(0.24497…)/2+(pin)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(2x)= 1/4

tan (2 x) = \frac{1}{4}

x = \frac{0.24497 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 x) = \frac{1}{4}

Apply trig inverse properties

2 x = arctan (\frac{1}{4}) + πn

Solve

2 x = arctan (\frac{1}{4}) + πn : x = \frac{arctan ( \frac{1}{4} )}{2} + \frac{πn}{2}

x = \frac{arctan ( \frac{1}{4} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = \frac{0.24497 \dots}{2} + \frac{πn}{2}

tan^{2} (x) = sin^{2} (x) + cos^{2} (x)

2 tan (x) - 4 = 1

sin (x) tan (x) - \frac{2}{2} tan (x) = 0

csc (θ) = - 2, 0 \leq θ < 4 π

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

What is the general solution for tan(2x)= 1/4 ?
The general solution for tan(2x)= 1/4 is x=(0.24497…)/2+(pin)/2