What is the general solution for 3*sin^2(x)-7*sin(x)+2=0 ?

The general solution for 3*sin^2(x)-7*sin(x)+2=0 is x=0.33983…+2pin,x=pi-0.33983…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3sin^2(x)-7sin(x)+2=0

3 \cdot sin^{2} (x) - 7 \cdot sin (x) + 2 = 0

x = 0.33983 \dots + 2 πn, x = π - 0.33983 \dots + 2 πn

Solution steps

3 sin^{2} (x) - 7 sin (x) + 2 = 0

Solve by substitution

sin (x) = 2, sin (x) = \frac{1}{3}

sin (x) = 2 :

No Solution

sin (x) = \frac{1}{3} : x = arcsin (\frac{1}{3}) + 2 πn, x = π - arcsin (\frac{1}{3}) + 2 πn

Combine all the solutions

x = arcsin (\frac{1}{3}) + 2 πn, x = π - arcsin (\frac{1}{3}) + 2 πn

Show solutions in decimal form

x = 0.33983 \dots + 2 πn, x = π - 0.33983 \dots + 2 πn

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

x, y sin (x y) = y^{2} + 2

3 sin (x) + 1 = 2 csc (x)

100 = (50) (40) cos (θ)

cos (x) = a

What is the general solution for 3*sin^2(x)-7*sin(x)+2=0 ?
The general solution for 3*sin^2(x)-7*sin(x)+2=0 is x=0.33983…+2pin,x=pi-0.33983…+2pin