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

The general solution for sin^3(x)=-2/3 is x=-1.06251…+2pin,x=pi+1.06251…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin^3(x)=-2/3

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

x = - 1.06251 \dots + 2 πn, x = π + 1.06251 \dots + 2 πn

Solution steps

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

Solve by substitution

No Solution

Combine all the solutions

Show solutions in decimal form

x = - 1.06251 \dots + 2 πn, x = π + 1.06251 \dots + 2 πn

x, tan^{2} (x) = tan^{2} (y)

2 cos^{2} (x) (1 + 2 cos^{2} (x)) = 2

- 6 sin (x) - 5 cos (x) = 2

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

2 sin^{2} (x) + sin^{2} (x) + cos^{2} (x) = 1

What is the general solution for sin^3(x)=-2/3 ?
The general solution for sin^3(x)=-2/3 is x=-1.06251…+2pin,x=pi+1.06251…+2pin