What is the general solution for tan(2x)=-1.238 ?

The general solution for tan(2x)=-1.238 is x=-(0.89134…)/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)=-1.238

tan (2 x) = - 1.238

x = - \frac{0.89134 \dots}{2} + \frac{πn}{2}

Degrees

x = - 25.53515 \dots^{\circ} + 9 0^{\circ} n

Solution steps

tan (2 x) = - 1.238

Apply trig inverse properties

tan (2 x) = - 1.238

General solutions for

tan (2 x) = - 1.238

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

2 x = arctan (- 1.238) + πn

2 x = arctan (- 1.238) + πn

Solve

2 x = arctan (- 1.238) + πn : x = - \frac{arctan ( \frac{619}{500} )}{2} + \frac{πn}{2}

2 x = arctan (- 1.238) + πn

Simplify

arctan (- 1.238) + πn : - arctan (\frac{619}{500}) + πn

arctan (- 1.238) + πn

arctan (- 1.238) = - arctan (\frac{619}{500})

arctan (- 1.238)

= arctan (- \frac{619}{500})

Use the following property:

arctan (- x) = - arctan (x)

arctan (- \frac{619}{500}) = - arctan (\frac{619}{500})

= - arctan (\frac{619}{500})

= - arctan (\frac{619}{500}) + πn

2 x = - arctan (\frac{619}{500}) + πn

Divide both sides by

2

2 x = - arctan (\frac{619}{500}) + πn

Divide both sides by

2

\frac{2 x}{2} = - \frac{arctan ( \frac{619}{500} )}{2} + \frac{πn}{2}

Simplify

x = - \frac{arctan ( \frac{619}{500} )}{2} + \frac{πn}{2}

x = - \frac{arctan ( \frac{619}{500} )}{2} + \frac{πn}{2}

x = - \frac{arctan ( \frac{619}{500} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = - \frac{0.89134 \dots}{2} + \frac{πn}{2}

tan (θ) = π

csc^{2} (x) + 2 cot^{2} (x) = 1

3 csc (2 x) + 2 = 0

x, 2 cos^{2} (x) - 1 = 0

- 25 sin (5 x) = 0

What is the general solution for tan(2x)=-1.238 ?
The general solution for tan(2x)=-1.238 is x=-(0.89134…)/2+(pin)/2