What is the general solution for tan(2x)= 24/7 ?

The general solution for tan(2x)= 24/7 is x=(1.28700…)/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)= 24/7

tan (2 x) = \frac{24}{7}

x = \frac{1.28700 \dots}{2} + \frac{πn}{2}

Degrees

x = 36.86989 \dots^{\circ} + 9 0^{\circ} n

Solution steps

tan (2 x) = \frac{24}{7}

Apply trig inverse properties

tan (2 x) = \frac{24}{7}

General solutions for

tan (2 x) = \frac{24}{7}

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

2 x = arctan (\frac{24}{7}) + πn

2 x = arctan (\frac{24}{7}) + πn

Solve

2 x = arctan (\frac{24}{7}) + πn : x = \frac{arctan ( \frac{24}{7} )}{2} + \frac{πn}{2}

2 x = arctan (\frac{24}{7}) + πn

Divide both sides by

2

2 x = arctan (\frac{24}{7}) + πn

Divide both sides by

2

\frac{2 x}{2} = \frac{arctan ( \frac{24}{7} )}{2} + \frac{πn}{2}

Simplify

x = \frac{arctan ( \frac{24}{7} )}{2} + \frac{πn}{2}

x = \frac{arctan ( \frac{24}{7} )}{2} + \frac{πn}{2}

x = \frac{arctan ( \frac{24}{7} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = \frac{1.28700 \dots}{2} + \frac{πn}{2}

x, 80 = 75 - 60 cos (\frac{[ π \cdot x ]}{15})

sin (θ) = (0.65)

cos (θ) = \frac{800 cos ( 7 0 ^{\circ} )}{425}

csc^{(2)} (x) - cot (x) = 2, 0 <, x < 360

2 sin (x) + \frac{3}{4} = \frac{3}{2}

What is the general solution for tan(2x)= 24/7 ?
The general solution for tan(2x)= 24/7 is x=(1.28700…)/2+(pin)/2