What is the general solution for sin^3(x)-2=-3sin^3(x) ?

The general solution for sin^3(x)-2=-3sin^3(x) is x=0.91686…+2pin,x=pi-0.91686…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin^3(x)-2=-3sin^3(x)

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

x = 0.91686 \dots + 2 πn, x = π - 0.91686 \dots + 2 πn

Solution steps

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

Solve by substitution

sin (x) = - \frac{2 ^{\frac{2}{3}}}{4} + i \frac{2 ^{\frac{2}{3}} 3}{4} :

No Solution

sin (x) = - \frac{2 ^{\frac{2}{3}}}{4} - i \frac{2 ^{\frac{2}{3}} 3}{4} :

No Solution

Combine all the solutions

Show solutions in decimal form

x = 0.91686 \dots + 2 πn, x = π - 0.91686 \dots + 2 πn

cos (x) + sin (x) = 2

sin (3 θ) cos (θ) - cos (3 θ) sin (θ) = \frac{3}{2}

tan (x) = 3 cot (x)

2 cos (\frac{1}{2} x) - 1 = 0

2 cos (θ) sin (θ) - sin (θ) = 0

What is the general solution for sin^3(x)-2=-3sin^3(x) ?
The general solution for sin^3(x)-2=-3sin^3(x) is x=0.91686…+2pin,x=pi-0.91686…+2pin