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

The general solution for tan(x-1)=2 is x=1.10714…+pin+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(x-1)=2

tan (x - 1) = 2

x = 1.10714 \dots + πn + 1

Degrees

x = 120.73072 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x - 1) = 2

Apply trig inverse properties

tan (x - 1) = 2

General solutions for

tan (x - 1) = 2

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

x - 1 = arctan (2) + πn

x - 1 = arctan (2) + πn

Solve

x - 1 = arctan (2) + πn : x = arctan (2) + πn + 1

x - 1 = arctan (2) + πn

Move

1

to the right side

x - 1 = arctan (2) + πn

Add

1

to both sides

x - 1 + 1 = arctan (2) + πn + 1

Simplify

x = arctan (2) + πn + 1

x = arctan (2) + πn + 1

x = arctan (2) + πn + 1

Show solutions in decimal form

x = 1.10714 \dots + πn + 1

5 sin^{2} (x) + 10 sin (x) + 2 = 0

tan (x) = \frac{5}{5.1}

\frac{sin ( x )}{120} = \frac{sin ( 6 0 ^{\circ} )}{300}

8 sin (θ) + 15 cos (θ) = 0

sin (t) = \frac{3}{7}

What is the general solution for tan(x-1)=2 ?
The general solution for tan(x-1)=2 is x=1.10714…+pin+1