What is the general solution for 3sin^2(x)-8sin(x)+4=0 ?

The general solution for 3sin^2(x)-8sin(x)+4=0 is x=0.72972…+2pin,x=pi-0.72972…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3sin^2(x)-8sin(x)+4=0

3 sin^{2} (x) - 8 sin (x) + 4 = 0

x = 0.72972 \dots + 2 πn, x = π - 0.72972 \dots + 2 πn

Solution steps

3 sin^{2} (x) - 8 sin (x) + 4 = 0

Solve by substitution

sin (x) = 2, sin (x) = \frac{2}{3}

sin (x) = 2 :

No Solution

sin (x) = \frac{2}{3} : x = arcsin (\frac{2}{3}) + 2 πn, x = π - arcsin (\frac{2}{3}) + 2 πn

Combine all the solutions

x = arcsin (\frac{2}{3}) + 2 πn, x = π - arcsin (\frac{2}{3}) + 2 πn

Show solutions in decimal form

x = 0.72972 \dots + 2 πn, x = π - 0.72972 \dots + 2 πn

3 tan (x) = tan (2 x)

cos (4 x) + sin (6 x) = 0

- 15.44 = - 2 sin (- 3 θ + 300)

sin (x) = - cos (3 4^{\circ})

2 sin^{2} (x) = cos^{3} (x) tan (x)

What is the general solution for 3sin^2(x)-8sin(x)+4=0 ?
The general solution for 3sin^2(x)-8sin(x)+4=0 is x=0.72972…+2pin,x=pi-0.72972…+2pin