What is the general solution for 6sin^2(x)=5sin(x) ?

The general solution for 6sin^2(x)=5sin(x) is x=2pin,x=pi+2pin,x=0.98511…+2pin,x=pi-0.98511…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6sin^2(x)=5sin(x)

6 sin^{2} (x) = 5 sin (x)

x = 2 πn, x = π + 2 πn, x = 0.98511 \dots + 2 πn, x = π - 0.98511 \dots + 2 πn

Solution steps

6 sin^{2} (x) = 5 sin (x)

Solve by substitution

sin (x) = 0, sin (x) = \frac{5}{6}

sin (x) = 0 : x = 2 πn, x = π + 2 πn

sin (x) = \frac{5}{6} : x = arcsin (\frac{5}{6}) + 2 πn, x = π - arcsin (\frac{5}{6}) + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn, x = arcsin (\frac{5}{6}) + 2 πn, x = π - arcsin (\frac{5}{6}) + 2 πn

Show solutions in decimal form

x = 2 πn, x = π + 2 πn, x = 0.98511 \dots + 2 πn, x = π - 0.98511 \dots + 2 πn

cos (π x) = 1

\frac{( 3 )}{( cos ( x ) )} = 8 - 5 tan (x)

x, π + 3 arccos (x + 1) = 0

cos (x + 4 0^{\circ}) = 0.3

cos (3 x) = - 1, 0 \leq x \leq 2 π

What is the general solution for 6sin^2(x)=5sin(x) ?
The general solution for 6sin^2(x)=5sin(x) is x=2pin,x=pi+2pin,x=0.98511…+2pin,x=pi-0.98511…+2pin