What is the general solution for 7cot(x)-sqrt(3)=4cot(x) ?

The general solution for 7cot(x)-sqrt(3)=4cot(x) is x= pi/3+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7cot(x)-sqrt(3)=4cot(x)

7 cot (x) - 3 = 4 cot (x)

x = \frac{π}{3} + πn

Solution steps

7 cot (x) - 3 = 4 cot (x)

Solve by substitution

cot (x) = \frac{3}{3}

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

Combine all the solutions

x = \frac{π}{3} + πn

cos (θ) + 2 cos^{2} (θ) = 1

sin (2 x) - 2 cos (x) = 0

sin^{2} (θ) - cos^{2} (θ) = 1 + cos (θ), 0 \leq θ < 2 π

csc (x) = \frac{1}{2}

sin^{2} (θ) - sin (θ) = 0

What is the general solution for 7cot(x)-sqrt(3)=4cot(x) ?
The general solution for 7cot(x)-sqrt(3)=4cot(x) is x= pi/3+pin