What is the general solution for 7tan^2(θ)-11tan(θ)-4=-8tan(θ) ?

The general solution for 7tan^2(θ)-11tan(θ)-4=-8tan(θ) is θ= pi/4+pin,θ=-0.51914…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7tan^2(θ)-11tan(θ)-4=-8tan(θ)

7 tan^{2} (θ) - 11 tan (θ) - 4 = - 8 tan (θ)

θ = \frac{π}{4} + πn, θ = - 0.51914 \dots + πn

Solution steps

7 tan^{2} (θ) - 11 tan (θ) - 4 = - 8 tan (θ)

Solve by substitution

tan (θ) = 1, tan (θ) = - \frac{4}{7}

tan (θ) = 1 : θ = \frac{π}{4} + πn

tan (θ) = - \frac{4}{7} : θ = arctan (- \frac{4}{7}) + πn

Combine all the solutions

θ = \frac{π}{4} + πn, θ = arctan (- \frac{4}{7}) + πn

Show solutions in decimal form

θ = \frac{π}{4} + πn, θ = - 0.51914 \dots + πn

2 cos^{2} (2 θ) + sin (2 θ) = 1

8 tan (θ) - 54 = 0

3 sin^{2} (x) - 3 = 0

tan (2 x + \frac{π}{3}) = 3

tan (θ) = - 8

What is the general solution for 7tan^2(θ)-11tan(θ)-4=-8tan(θ) ?
The general solution for 7tan^2(θ)-11tan(θ)-4=-8tan(θ) is θ= pi/4+pin,θ=-0.51914…+pin