en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3tan(x-1)=4,x<= 2pi,0

Solution

3 tan (x - 1) = 4, x \leq 2 π, 0

Solution

x = 0.92729 \dots + 1, x = 0.92729 \dots + π + 1, x = 0.92729 \dots - π + 1, x = 0.92729 \dots - 2 π + 1, x = 0.92729 \dots - 3 π + 1, x = 0.92729 \dots - 4 π + 1

+1

Degrees

x = 110.42588 \dots^{\circ}, x = 290.42588 \dots^{\circ}, x = - 69.57411 \dots^{\circ}, x = - 249.57411 \dots^{\circ}, x = - 429.57411 \dots^{\circ}, x = - 609.57411 \dots^{\circ}

Solution steps

3 tan (x - 1) = 4, x \leq 2 π, 0

Divide both sides by

3

3 tan (x - 1) = 4

Divide both sides by

3

\frac{3 tan ( x - 1 )}{3} = \frac{4}{3}

Simplify

tan (x - 1) = \frac{4}{3}

tan (x - 1) = \frac{4}{3}

Apply trig inverse properties

tan (x - 1) = \frac{4}{3}

General solutions for

tan (x - 1) = \frac{4}{3}

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

x - 1 = arctan (\frac{4}{3}) + πn

x - 1 = arctan (\frac{4}{3}) + πn

Solve

x - 1 = arctan (\frac{4}{3}) + πn : x = arctan (\frac{4}{3}) + πn + 1

x - 1 = arctan (\frac{4}{3}) + πn

Move

1

to the right side

x - 1 = arctan (\frac{4}{3}) + πn

Add

1

to both sides

x - 1 + 1 = arctan (\frac{4}{3}) + πn + 1

Simplify

x = arctan (\frac{4}{3}) + πn + 1

x = arctan (\frac{4}{3}) + πn + 1

x = arctan (\frac{4}{3}) + πn + 1

Solutions for the range

x \leq 2 π

x = arctan (\frac{4}{3}) + 1, x = arctan (\frac{4}{3}) + π + 1, x = arctan (\frac{4}{3}) - π + 1, x = arctan (\frac{4}{3}) - 2 π + 1, x = arctan (\frac{4}{3}) - 3 π + 1, x = arctan (\frac{4}{3}) - 4 π + 1

Show solutions in decimal form

x = 0.92729 \dots + 1, x = 0.92729 \dots + π + 1, x = 0.92729 \dots - π + 1, x = 0.92729 \dots - 2 π + 1, x = 0.92729 \dots - 3 π + 1, x = 0.92729 \dots - 4 π + 1

Popular Examples

sin(x)=(6sin(20))/4

sin (x) = \frac{6 sin ( 2 0 ^{\circ} )}{4}

0=1.2209*cos(x)+0.0422*cos(2*x)

0 = 1.2209 \cdot cos (x) + 0.0422 \cdot cos (2 \cdot x)

5 sin (θ) + 3 = 0

cos^2(x)-sin^2(x)=2cos(x)-1

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

cos(x)+cos(2x)=-1

cos (x) + cos (2 x) = - 1