What is the general solution for -6tan^2(θ)+11tan(θ)-6=-2tan(θ) ?

The general solution for -6tan^2(θ)+11tan(θ)-6=-2tan(θ) is θ=0.58800…+pin,θ=0.98279…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-6tan^2(θ)+11tan(θ)-6=-2tan(θ)

- 6 tan^{2} (θ) + 11 tan (θ) - 6 = - 2 tan (θ)

θ = 0.58800 \dots + πn, θ = 0.98279 \dots + πn

Solution steps

- 6 tan^{2} (θ) + 11 tan (θ) - 6 = - 2 tan (θ)

Solve by substitution

tan (θ) = \frac{2}{3}, tan (θ) = \frac{3}{2}

tan (θ) = \frac{2}{3} : θ = arctan (\frac{2}{3}) + πn

tan (θ) = \frac{3}{2} : θ = arctan (\frac{3}{2}) + πn

Combine all the solutions

θ = arctan (\frac{2}{3}) + πn, θ = arctan (\frac{3}{2}) + πn

Show solutions in decimal form

θ = 0.58800 \dots + πn, θ = 0.98279 \dots + πn

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

12 sin^{2} (x) - cos (x) - 6 = 0

tan (\frac{x}{2}) - 1 = 0

sin (θ) = - cos (θ)

cot^{2} (θ) + csc (θ) = 1

What is the general solution for -6tan^2(θ)+11tan(θ)-6=-2tan(θ) ?
The general solution for -6tan^2(θ)+11tan(θ)-6=-2tan(θ) is θ=0.58800…+pin,θ=0.98279…+pin