What is the general solution for tan^2(x)-9tan(x)-10=0 ?

The general solution for tan^2(x)-9tan(x)-10=0 is x=1.47112…+pin,x=(3pi)/4+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan^2(x)-9tan(x)-10=0

tan^{2} (x) - 9 tan (x) - 10 = 0

x = 1.47112 \dots + πn, x = \frac{3 π}{4} + πn

Solution steps

tan^{2} (x) - 9 tan (x) - 10 = 0

Solve by substitution

tan (x) = 10, tan (x) = - 1

tan (x) = 10 : x = arctan (10) + πn

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

Combine all the solutions

x = arctan (10) + πn, x = \frac{3 π}{4} + πn

Show solutions in decimal form

x = 1.47112 \dots + πn, x = \frac{3 π}{4} + πn

(cot (θ) - 1) (csc (θ) - 1) = 0

(tan (θ) - 1) (sec (θ) + 1) = 0

9 cos (x) - 9 sin (x) = 0

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

sec^{2} (x) + 6 tan (x) + 4 = 0

What is the general solution for tan^2(x)-9tan(x)-10=0 ?
The general solution for tan^2(x)-9tan(x)-10=0 is x=1.47112…+pin,x=(3pi)/4+pin