What is the general solution for 5cot^2(x)+8cot(x)+3=0 ?

The general solution for 5cot^2(x)+8cot(x)+3=0 is x=2.11121…+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 >

5cot^2(x)+8cot(x)+3=0

5 cot^{2} (x) + 8 cot (x) + 3 = 0

x = 2.11121 \dots + πn, x = \frac{3 π}{4} + πn

Solution steps

5 cot^{2} (x) + 8 cot (x) + 3 = 0

Solve by substitution

cot (x) = - \frac{3}{5}, cot (x) = - 1

cot (x) = - \frac{3}{5} : x = arccot (- \frac{3}{5}) + πn

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

Combine all the solutions

x = arccot (- \frac{3}{5}) + πn, x = \frac{3 π}{4} + πn

Show solutions in decimal form

x = 2.11121 \dots + πn, x = \frac{3 π}{4} + πn

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

2 tan^{2} (2 x) - tan (2 x) = 3

sin (x) = \frac{15}{31}

4 cot (θ) - 1 = 0

x, 4 cos^{2} (x) = 5 - 4 sin (x)

What is the general solution for 5cot^2(x)+8cot(x)+3=0 ?
The general solution for 5cot^2(x)+8cot(x)+3=0 is x=2.11121…+pin,x=(3pi)/4+pin