What is the general solution for 2csc^2(x)-sqrt(2)csc(x)-2=0 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2csc^2(x)-sqrt(2)csc(x)-2=0

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

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

Solution steps

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

Solve by substitution

csc (x) = 2, csc (x) = - \frac{2}{2}

csc (x) = 2 : x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

csc (x) = - \frac{2}{2} :

No Solution

Combine all the solutions

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

sin (t) = - \frac{2}{2}

9 cos (2 θ) = 9 cos^{2} (θ) - 4

- 10 sin (x) = 0

sin (\frac{x}{5}) = 0

8400 = 624 sin (\frac{2 π}{365} t) + 8736

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