What is the general solution for cot^2(x)-4cot(x)+3=0 ?

The general solution for cot^2(x)-4cot(x)+3=0 is x=0.32175…+pin,x= pi/4+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot^2(x)-4cot(x)+3=0

cot^{2} (x) - 4 cot (x) + 3 = 0

x = 0.32175 \dots + πn, x = \frac{π}{4} + πn

Solution steps

cot^{2} (x) - 4 cot (x) + 3 = 0

Solve by substitution

cot (x) = 3, cot (x) = 1

cot (x) = 3 : x = arccot (3) + πn

cot (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

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

Show solutions in decimal form

x = 0.32175 \dots + πn, x = \frac{π}{4} + πn

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

2 sin (θ) = 1, 0 \leq θ \leq 2 π

sin (8 θ) - sin (6 θ) = cos (7 θ), 0 \leq θ \leq 2 π

cos (2 x) + 14 sin^{2} (x) = 10

6 tan (b) + 14 = 0

What is the general solution for cot^2(x)-4cot(x)+3=0 ?
The general solution for cot^2(x)-4cot(x)+3=0 is x=0.32175…+pin,x= pi/4+pin