What is the general solution for 2csc^2(x)=cot(x) ?

The general solution for 2csc^2(x)=cot(x) is No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2csc^2(x)=cot(x)

2 csc^{2} (x) = cot (x)

No Solution for x \in R

Solution steps

2 csc^{2} (x) = cot (x)

Subtract

cot (x)

from both sides

2 csc^{2} (x) - cot (x) = 0

Rewrite using trig identities

- cot (x) + (1 + cot^{2} (x)) \cdot 2 = 0

Solve by substitution

cot (x) = \frac{1}{4} + i \frac{15}{4}, cot (x) = \frac{1}{4} - i \frac{15}{4}

cot (x) = \frac{1}{4} + i \frac{15}{4} :

No Solution

cot (x) = \frac{1}{4} - i \frac{15}{4} :

No Solution

Combine all the solutions

No Solution for x \in R

6 sin (x) cos (x) + 3 sin (x) - 2 cos (x) - 1 = 0

a cos (x) + b sin (x) = 0

cot (x) = \frac{7}{4}, sin (x) < 0

22 cos (x) + 2 = 0

8 cos (2 x) = 1

What is the general solution for 2csc^2(x)=cot(x) ?
The general solution for 2csc^2(x)=cot(x) is No Solution for x\in\mathbb{R}